1. Find the LCM of the given numbers.
10, 25.
A. 5.
B. 10
C. 2
A. 365
D. 50
2. Find the LCM of the given numbers.
24, 36.
B. 72
C. 144
D. 864
3. Find the LCM of the given numbers.
7, 14.
A. 14
B. 28
C. 42
D. 56
4. Dominick is in charge of ordering supplies for Harry's Hamburger Stand. Hamburger Buns come in pack of 12 and frozen hamburger patties come in packages of 20. He must have the same amount of rolls as patties. What is the least number of packages of each that he must order?
A. 2 packages of buns and 1 package of patties.
B. 2 packages of buns and 2 packages of patties.
C. 5 packages of buns and 3 packages of patties.
D. 4 packages of buns and 3 packages of patties.
all correct
I've got the answers..
1. D. 50
2. B. 72
3. A. 14
4. C. 5 packages of buns and 3 packages of patties.
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1. To find the least common multiple (LCM) of 10 and 25, we can start by listing the multiples of each number and identifying the smallest common multiple they share:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 25: 25, 50, 75, 100, ...
From these lists, we can see that the smallest common multiple is 50. Therefore, the answer is D. 50.
2. Similarly, to find the LCM of 24 and 36, we list their multiples:
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, ...
Multiples of 36: 36, 72, 108, 144, 180, ...
From these lists, we can see that the smallest common multiple is 72. Therefore, the answer is B. 72.
3. For the given numbers 7 and 14, their multiples can be listed as follows:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, ...
Multiples of 14: 14, 28, 42, 56, 70, ...
From these lists, we can see that the smallest common multiple is 14. Therefore, the answer is A. 14.
4. To solve this problem, we need to find the least common multiple of 12 and 20. This will give us the number of rolls and patties required to have an equal amount.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, ...
Multiples of 20: 20, 40, 60, 80, 100, ...
From these lists, we can see that the smallest common multiple is 60. Therefore, Dominick needs to order 5 packages of buns (5 * 12 = 60) and 3 packages of patties (3 * 20 = 60). Therefore, the answer is C. 5 packages of buns and 3 packages of patties.