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find LCM of 30 and 7
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Sagot :

Answer:To find the least common multiple (LCM) of 30 and 7, we follow these steps:

Step-by-step explanation:Prime factorization:

30 = 2 × 3 × 5

7 is a prime number, so its prime factorization is 7.

Identify the highest powers of all prime numbers that appear in the factorizations:

The primes involved are 2, 3, 5, and 7.

Multiply these highest powers together:

LCM = 2^1 × 3^1 × 5^1 × 7^1

Calculate the product:

LCM = 2 × 3 × 5 × 7 = 210

So, the LCM of 30 and 7 is 210.