LCM
At the gym, Hillary swims every 6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
48
Oscar needs to ship 14 rock CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box, and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?
2
Eva and Agnes are packing candy bars. Eva packs 9 chocolate bars per box while Agnes packs 8 fruit bars per box. If they want to pack an equal number of bars, how many bars should each of them pack? How many boxes does Eva need to pack?
Each of them should pack 72 bars. 72 ÷ 9 = 8 In order to have same number of bars as Agnes, Eva needs to pack 8 boxes.
Ronald found 3 iron rods in his garage measuring 64 inches, 56 inches and 40 inches long. He wants to cut those iron rods obtaining the longest possible equal-length pieces without remainder in reconstructing his house gate. How long would each piece be?
8 in.
Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?
He needs to buy at least 24 of each, so 4 packages cups and 3 packages of plates. He needs to buy 4 packages of cups and 3 packages of plates.
I want to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in my garden. If I put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row?
9
Evelyn and Ofelia love gardening. Evelyn waters her plants every 3 days. Her neighbor Ofelia waters her plants every 5 days. If they both water their plants on July 1, what is the next date they will water their plants together?
They will water their plants together on July 16, the 15th day after July 1.
It's Mothers’ Day. Allyn needs to arrange 48 roses, 54 carnations, and 30 sunflowers in bouquets. She can include only one type of flower per bouquet, and she must use the same number of flowers in each bouquet. What is the greatest number of flowers that can be packed in each bouquet? How many bouquets can she make?
She can put 6 flowers in each bouquet. 48 + 54 + 30 = 132 132 ÷ 6 = 22 She can make 22 bouquets of flowers.
Magellan has decided to make party baskets for the fund raiser. Balloons are sold in bags of 20, party horns are sold in bags of 10, and there are 8 candy bars in a package. How many of each should he buy so there are an equal number of balloons, horns, and candy bars in each basket?
In order to have 40 of each item, Magellan should buy 5 packages of candy bars, 4 bags of horns and 2 bags of balloons.
Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musical DVDs. He can pack only one type of DVD in each box, and he must pack the same number of DVDs in each box. What is the greatest number of DVDs Tony can pack in each box?
6
Rudy and Lynn are working delivering newspapers and magazines from a publishing company for 7 months. Rudy delivers newspapers every 3 days in a village. Lynn also delivers magazines every 7 days in the same village. If the two students deliver today, when is the next time they will deliver on the same day?
They will deliver on the same day again 21 days later.
The local government is distributing 49 lemon seedlings, 63 tomato seedlings and 28 jackfruit seedlings equally among some aspiring fruit farmers. What is the greatest number of farmers who will be able to receive the same number of fruit seedlings? How many lemon seedlings will each farmer get?
There will be 7 farmers who receive the same number of each type of fruit seedling. 49 ÷ 7 = 7 Each farmer will receive 7 lemon seedlings.
A radio station is having a promotion in which every 12th caller receives a free concert ticket, and every 15th caller receives a limo ride. Which caller will be the first one to win both?
60th
Mei has 15 oranges, 9 peaches and 18 pears. She wants to put all of the fruit into baskets with each basket having the same number of pieces of fruit in it. Without mixing the fruit, what is the greatest number of pieces of fruit Mei can put in each basket?
3
The 3 bells ring at the factory at intervals of 3, 6 and 10 minutes simultaneously starting at 8:00 in the morning. At what time will the three bells ring together at the same time?
The three bells will ring together at 8:30 am.
There are 28 girls and 42 boys from 6 sections registered to participate in a science quiz bee. The quiz master wants as many teams as possible, with the same number of boys and girls on each team. How many teams will there be? How many boys and girls are on each team?
Girls: 28 ÷ 14 = 2 Boys: 42 ÷ 14 = 3 There would be 2 girls and 3 boys on each team.
A full moon occurs every 30 days. If the last full moon occurred on a Friday, how many days will pass before a full moon occurs again on a Friday?
To find a common multiple, we can multiply 30 days by 7 days in a Week (to end up on Friday again). 30 x 7 = 210 It will take 210 days.
Anna Marie needs to pack 15 pencils, 12 boxes of crayons and 9 pens into bundles. She must pack one item in each bundle and each bundle must have the same number of items. What is the greatest number of the same items she must pack in a bundle?
She must pack 3 of the same items per bundle.
Carina has 24 apples, 36 bundles of bananas and 12 lemons. She wants to put all of the fruit into plastic containers, each with the same number of pieces of fruit in it. What is the greatest number of pieces of fruit she can put in each plastic container?
There would be 12 pieces of fruit in each plastic container.