Question

The HCF and LCM of two number are 36 and 720 respectively.If one of the number is 144,find the other numbers.​

Answer 1

Answer:

36 × 720 =25920 / 144 = 180

Answer 2

GiveN :

• L.C.M is 720
• H.C.F is 36
• One number is 144

To FinD :

• Another Number

SolutioN :

We are given that the LCM And HCF of two numbers is 720 and 36 respectively, if one of the number is 144 . Then we have to find the another number.

use the formula ,

⇒Product of Numbers = L.C.M * H.C.F

⇒Product = 720 × 36

let the the number to be find be x,

⇒x * 144 = 720*36

⇒144x = 25,920

⇒x = 25,920/144

⇒x = 180

$\therefore$ So, another number is 180

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Additional information :

• LCM stands for Least Common Multiple.

The least common multiple of any two or more given natural numbers are called as LCM.

• HCF stands for Height Common Factor also known as Greatest Common Factor (GCF). The largest  factor common to any two or more given natural numbers is called as HCF of given numbers.