I DONT GET IT; IT SAYS WHICH OF THE FOLLOWING PAIRS OF NUMBERS HAVE A LEAST COMMON MULTIPLE OF 56......
THESE ARE THE PAIRS:
2 AND 28
7 AND 8
4 AND 14
3 AND 17
HELP MEEEE
https://www.mathsisfun.com/least-common-multiple.html
Review how to find Least Common Multiple
e.g. 4 and 14
4 = 2*2
14 = 2*7
so I need 2*2*7 = 28
for 7 and 8
7 = 1*7 , 7 is prime
8 = 2*2*2
so we need 1*7*2*2*2 = 56
here is another example, using 3 numbers
find the LCM of 12, 20, and 45
12 = 2*2*3
20 = 2*2*5
45 = 3*3*5
so we need 2*2*3*3*5 = 180
To find the least common multiple (LCM) of a pair of numbers, you need to identify the factors of each number and determine their common multiples. Here's how you can determine the LCM for each pair:
Pair 1: 2 and 28
Factors of 2: 1, 2
Factors of 28: 1, 2, 4, 7, 14, 28
Common multiples: 2, 4, 14, 28
The LCM for 2 and 28 is 28 because it is the smallest number that appears in both lists.
Pair 2: 7 and 8
Factors of 7: 1, 7
Factors of 8: 1, 2, 4, 8
Common multiples: 8
The LCM for 7 and 8 is 8 because it is the smallest number that appears in both lists.
Pair 3: 4 and 14
Factors of 4: 1, 2, 4
Factors of 14: 1, 2, 7, 14
Common multiples: 2, 14
The LCM for 4 and 14 is 14 because it is the smallest number that appears in both lists.
Pair 4: 3 and 17
Factors of 3: 1, 3
Factors of 17: 1, 17
Common multiples: 17
The LCM for 3 and 17 is 17 because it is the smallest number that appears in both lists.
Therefore, among the given pairs, the pair with the least common multiple (LCM) of 56 is the first pair, 2 and 28.