Question

what is the least number which can be exactly divided by 36, 64 and 72​

Answer 1

Answer:

least number which can be exactly divided = LCM

LCM of 36, 64 and 72​

36 = 2×2×3×3 = 2²×3²

64 = 2×2×2×2×2×2 = 2⁶

72 = 2×2×2×3×3 = 2³×3²

LCM = 2⁶×3²

Step-by-step explanation:

Answer 2

4 is the least number

Given:

Three numbers = 36, 64, 72

To Find:

The least number that is exactly divisible.

Solution:

The least number which can be exactly divided means we have to find the LCM (Least common multiple) of the given numbers.

The LCM of any two is the value that is evenly divisible by the two given numbers.

LCM is Least Common Multiple. It is also called the Least Common Divisor (LCD)

LCM of 36, 64 and 72​

All the factors of numbers.

36 = 2×2×3×3

64 = 2×2×2×2×2×2

72 = 2×2×2×3×3

Now find the least common multiple

LCM = 2² = 4.

Therefore, 4 is the least number which can be exactly divided by 36, 64, and 72.

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