The least number which should be added to 2497 so that the sum is exac

1.	The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:1. 32. 133. 234. 33
Answer» Correct Answer - Option 3 : 23 Given: The number is 2497 It is exactly divisible by 5, 6, 4, and 3 Concept Used: Any numbers which are divisible by the numbers a, b, c, d, Are always a multiple of the L.C.M of the numbers a, b, c, d. Calculation: The LCM of 3, 4, 5, and 6 is 60. ⇒ So the number is exactly divisible by 60 ⇒ 2497/60 ⇒ (2460 + 37)/60 ⇒ 2460 is exactly divisible by 60 ⇒ The remaining = 37/60 ⇒ Remainder = 60 – 37 ⇒ Remainder = 23 ∴ The least number which should be added is 23

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:1. 32. 133. 234. 33

Answer» Correct Answer - Option 3 : 23

Given:

The number is 2497

It is exactly divisible by 5, 6, 4, and 3

Concept Used:

Any numbers which are divisible by the numbers a, b, c, d,

Are always a multiple of the L.C.M of the numbers a, b, c, d.

Calculation:

The LCM of 3, 4, 5, and 6 is 60.

⇒ So the number is exactly divisible by 60

⇒ 2497/60

⇒ (2460 + 37)/60

⇒ 2460 is exactly divisible by 60

⇒ The remaining = 37/60

⇒ Remainder = 60 – 37

⇒ Remainder = 23

∴ The least number which should be added is 23

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