Find two natural numbers whose difference is 66 and the least common multiple is 360.

دو قدرتی اعداد تلاش کریں جن کا فرق 66 ہے اور سب سے کم عام ضرب 360 ہے۔

Answer: 24,90

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.

ND5-07-2023

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