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
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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