# How do you find the LCM of the 39, 52, 169?

First perform prime factorisation of all three numbers.

Multiply other three numbers which are not common and 13.

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To find the least common multiple (LCM) of 39, 52, and 169, first, express each number as a product of prime factors. Then, identify the highest power of each prime factor that appears in any of the numbers. Finally, multiply these prime factors together to obtain the LCM.

Here's the breakdown:

39 = 3 × 13 52 = 2^2 × 13 169 = 13^2

Now, identify the highest power of each prime factor:

- The highest power of 2 is 2^2
- The highest power of 3 is 3^1
- The highest power of 13 is 13^2

Multiply these together to get the LCM: LCM = 2^2 × 3^1 × 13^2 = 4 × 3 × 169 = 2028

Therefore, the LCM of 39, 52, and 169 is 2028.

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