Question

Find the least number that is divisible by all number between 1 and 10 both inclusive

Answer 1

Answer:

Step-by-step explanation:

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

1 = 1¹

2 = 2¹

3 = 3¹

4 = 2 x 2 = 2²

5 = 5¹

6 = 2¹ x 3¹

7 = 7¹

8 = 2 x 2 x 2 = 2³

9 = 3 x 3 = 3²

10 = 2¹ x 5¹

LCM = 2³ × 3² × 5¹ × 7¹ = 8 × 9 × 5 × 7

L.C.M  of numbers between 1 and 10 (both inclusive) = 2520

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

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Answer 2

Answer:

2520

 Step-by-step explanation:

L.C.M of all the numbers between 1 and 10

 

1 = 1¹  

2 = 2¹  

3 = 3¹

 

4 = 2 x 2 = 2²

 

5 = 5¹

 

6 = 2¹ x 3¹

 

7 = 7¹

 

8 = 2 x 2 x 2 = 2³

 

9 = 3 x 3 = 3²

 

10 = 2¹ x 5¹

 

LCM = 2³ × 3² × 5¹ × 7¹ = 8 × 9 × 5 × 7

2520