Question

The difference of two natural number is 66 and LCM is 360 are​

Answer 1

Answer:

Let the two numbers be x and x+66.

Since, the LCM is 360, there must be 5,2 and 3 as the prime factors of the two numbers.

So, one pair is 24 & 90, because 90−24=66.

Also, 24=2×2×2×3

90=2×3×3×5

∴ LCM=2×2×2×3×3×5=360.

So, the numbers are 24 and 90.

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