1.) 4 and 10
LCM = 20
2.) 12 and 24
LCM = 24
3.) 15, 24 and 27
LCM = 1,080
1.) Find the Least Common Multiple (LCM) of 4 and 10
Multiples of 4:
4, 8, 12, 16, 20, 24 and 28
Multiples of 10:
10, 20, 30 and 40
Therefore, the Least Common Factor (LCM) of 4 and 10 is 20
2.) Find the Least Common Multiple (LCM) of 12 and 24
Multiples of 12:
12, 24, 36 and 48
Multiples of 24:
24, 48 and 72
Therefore, the Leas Common Multiple ( LCM) of 12 and 24 is 24
3.) Find the Least Common Multiple (LCM) of 15, 24 and 27
Multiples of 15:
15, 30, 45, 60, ….., 1065, 1080, 1095 and 1110
24, 48, 72, …., 1056, 1080, 1104 and 1128
Multiples of 27:
27, 54, 81, 108, …., 1026, 1053, 1080, 1107 and 1134
Therefore, the Least Common Multiple (LCM) of 15, 24 and 27 is 1080
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Verified answer
Answers:
1.) 4 and 10
LCM = 20
2.) 12 and 24
LCM = 24
3.) 15, 24 and 27
LCM = 1,080
Explanation:
1.) Find the Least Common Multiple (LCM) of 4 and 10
Multiples of 4:
4, 8, 12, 16, 20, 24 and 28
Multiples of 10:
10, 20, 30 and 40
Therefore, the Least Common Factor (LCM) of 4 and 10 is 20
2.) Find the Least Common Multiple (LCM) of 12 and 24
Multiples of 12:
12, 24, 36 and 48
Multiples of 24:
24, 48 and 72
Therefore, the Leas Common Multiple ( LCM) of 12 and 24 is 24
3.) Find the Least Common Multiple (LCM) of 15, 24 and 27
Multiples of 15:
15, 30, 45, 60, ….., 1065, 1080, 1095 and 1110
Multiples of 24:
24, 48, 72, …., 1056, 1080, 1104 and 1128
Multiples of 27:
27, 54, 81, 108, …., 1026, 1053, 1080, 1107 and 1134
Therefore, the Least Common Multiple (LCM) of 15, 24 and 27 is 1080
if you have any question, feel free to ask
#CarryOnLearning
Note (Only for Number 3): I placed "..." because there were too many digits to place.
Note for all the Multiples Given: The Multiples of the Numbers are not Limited to the number next to and.