Question

Find the least number which when decreased by 11 is divisible by 14, 15, 21, 32 & 60.

Answer 1

Answer:

(n-11)/60=11

Step-by-step explanation:

Answer 2

Answer:

The least number which when decreased by 11 is divisible by 14, 15, 21, 32 & 60 is 3371  

Step-by-step explanation:

Given problem

Find the least number which when decreased by 11 is divisible by 14, 15, 21, 32 & 60

find LCM of 14, 15, 21, 32 and 60  

14 = 2 × 7

15 = 3 × 5

21 = 3 × 7  

32 = 2 × 2 × 2 × 2 × 2      

LCM of ( 14, 15, 21, 32, 60 )  =  2⁵ x 3 x 5 x 7 = 3360

⇒ the least number which is divisible by  14, 15, 21, 32 & 60  = 3360  

Now add 11 to 3360  

⇒  3360 + 11 =  3371

⇒ The least number which when decreased by 11 is divisible by 14, 15, 21, 32 & 60 is 3371