Question

The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is (a) 840
(b) 2520
(c) 8
(d) 420

Answer 1

Answer:

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Step-by-step explanation:

The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is (a) 840

Answer 2

Given :  Number that is divisible by all the numbers from 1 to 8 (both inclusive)

To Find : Least number

(a) 840

(b) 2520

(c) 8

(d) 420

Solution:

Number that is divisible by all the numbers from 1 to 8 (both inclusive)

will be the LCM of (1 , 2 , 3 , 4 , 5 , 6 , 7 , 8)

2 , 3 , 5 , 7  are prime numbers

4 = 2 * 2

6 = 2 * 3

8 = 2 * 2 * 2

LCM = 2 * 2 * 2 *  3 * 5 * 7

= 840

Hence 840 is the least number that is divisible by all the numbers from 1 to 8 (both inclusive)

Correct option is  a)  840

Additional Info:

LCM  - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.

LCM = product of each factor  of highest power

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