Question

LCM of : - 78 114 118 ​

Answer 1

Answer:

84474 was LCM of these numbers

Step-by-step explanation:

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Answer 2

Answer:

To find the lcm of 78 and 114, we first need to find the multiples of 78 and 114 and then choose the least common multiple that are dividable by 78 and 114.

Multiples of 78 = 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326, 1404, 1482

Multiples of 114 = 114, 228, 342, 456, 570, 684, 798, 912, 1026, 1140, 1254, 1368, 1482

The least common multiple of 78 and 114 is 1482, because 1482 is the smallest number that is divisible by both 78 and 114.

Method 2 - Prime Factorization

Another method to find the least common multiple of 78 and 114 is by using the prime factorization method.

To use prime factorization, we first need to find the prime factors of 78 and 114, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 78 = 2 x 3 x 13

Prime factorization of 114 = 2 x 3 x 19

Prime factors to the highest power = 13 x 19 x 2 x 3 = 1482