Which least number should be subtracted from the number 6846 so that t

1.	Which least number should be subtracted from the number 6846 so that the number will be completely divisible by 6, 8 and 12?1. 42. 63. 84. 9
Answer» Correct Answer - Option 2 : 6 Given: After subtraction of a certain number from the number 6846, the result will be completely divisible by 6, 8, and 12. We have to find a certain number. Concept Used: Concept of LCM Calculation: 6 = 2 × 3 8 = 2 × 2 × 2 12 = 2 × 2 × 3 LCM of 6, 8 and 12 is 2 × 2 × 3 × 2 = 24 Now, dividing 6846 by 24 get the quotient = 285 and the remainder = 6 Thus, it is clear that if we subtract 6 from the number 6846 the result will be completely divisible by 24 ⇒ (6846 - 6) = 6840 will be completely divisible by 24 ⇒ 6840 will be completely divisible by 6, 8 and 12 ∴ The required least number is 6.

Which least number should be subtracted from the number 6846 so that the number will be completely divisible by 6, 8 and 12?1. 42. 63. 84. 9

Answer» Correct Answer - Option 2 : 6

Given:

After subtraction of a certain number from the number 6846, the result will be completely divisible by 6, 8, and 12. We have to find a certain number.

Concept Used:

Concept of LCM

Calculation:

6 = 2 × 3

8 = 2 × 2 × 2

12 = 2 × 2 × 3

LCM of 6, 8 and 12 is 2 × 2 × 3 × 2 = 24

Now, dividing 6846 by 24 get the quotient = 285 and the remainder = 6

Thus, it is clear that if we subtract 6 from the number 6846 the result will be completely divisible by 24

⇒ (6846 - 6) = 6840 will be completely divisible by 24

⇒ 6840 will be completely divisible by 6, 8 and 12

∴ The required least number is 6.

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