the least number which is a perfect square and divisible by each..., HCF & LCM, General Mathematics

Question:The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

/49

+ AnswerB

+ Explanationsolution:
The least number divisible by `16, 20, 24 = 1 c.m. of 16, 20, 24 =240 = 2 xx 2 xx 2 xx 2 xx 3 xx 5`
To make it a perfect square, it must be multiplied by `3 xx 5`.
`:.` Required number= `240 xx 3 xx 5 = 3600`.

+ Report

Descriptive on HCF & LCM Ebook

Total Preview: 1051

Question:The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

A 1600

B 3600

C 6400

D 1440

B