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Find the Least Number that is Divisible by All the Numbers Between 1 and 10 (Both Inclusive). - Mathematics

Numerical

Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).

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Solution

TO FIND: Least number that is divisible by all the numbers between 1 and 10 (both inclusive)

Let us first find the L.C.M of all the numbers between 1 and 10 (both inclusive)

1 = 1

2 = 2

3 = 3

4 = 22

5 = 5

6 = 2 × 3

7 = 7

8 = 23

9 = 32

10 = 2 × 5

L.C.M = 2520

Hence  2520  is the least number that is divisible by all the numbers between 1 and 10 (both inclusive)

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.4 | Q 14 | Page 40
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