# The LCM of two numbers is2^2×3×7.The HCF of the same numbers is 2×7.One of the numbers is the number of days in February 2013. What is the other number?

2
by Georgephilip

2015-02-25T19:34:38+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
We know that
HCF * LCM = First number * second number
2*2*3*7 * 2*7 = 28 * x
x = 42
Thus, the other number is 42.
2015-02-26T00:25:08+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
LCM = 2²×3×7
HCF = 2×7

One of the number = 28
let other number = x

we know that
product of LCM and HCF = product of the two numbers
⇒ 2²×3×7×2×7 = 28×x
⇒ x = (2²×3×7×2×7)/28
⇒ x = 42

So other number is 42.