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What will be the Least Common Multiple of the numbers divisible by 3 between 26 and 32?Options200330270350

Question

What will be the Least Common Multiple of the numbers divisible by 3 between 26 and 32?Options200330270350

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Solution

The numbers divisible by 3 between 26 and 32 are 27, 30.

The least common multiple (LCM) of 27 and 30 can be found by first finding the prime factors of each number:

27 = 3 * 3 * 3 30 = 2 * 3 * 5

Then, for each prime number, take the highest power that appears in either factorization and multiply those together:

2^1 * 3^3 * 5^1 = 2 * 27 * 5 = 270

So, the least common multiple of the numbers divisible by 3 between 26 and 32 is 270.

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