Question

find the lcm of 34,78

Answer 1

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IN GIVEN ATTACHMENT

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Answer 2

Answer:

The Lcm of 34 and 78​ is 1326.

Step-by-step explanation:

Given: The numbers are 34 and 78​.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are 34 and 78​.

First, we will find the prime factors for each number.

Prime Factorization of 34 is:

$2 \times 17 => 2^1 \times 17^1$

Prime Factorization of 78 is:

$2 \times 3 \times 13 => 2^1 \times 3^1 \times 13^1$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

2, 3, 13, 17

Multiply these factors together to find the LCM:

$LCM = 2 \times 3 \times 13 \times 17 = 1326$

Therefore,

LCM(34, 78) = 1326