Least Common Multiple of 62/25, 792/26, 126/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/25, 792/26, 126/472 quickly i.e. 171864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/25, 792/26, 126/472 is 171864.

LCM(62/25, 792/26, 126/472) = 171864

LCM of 62/25, 792/26, 126/472

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 62/25,792/26,126/472

Given numbers are 62/25,792/26,126/472

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 62,792,126

Least Common Multiple of Numerators i.e. LCM of 62,792,126 is 171864.

GCF of Denominators means GCF of 25,26,472 as per the given fractions.

GCF of 25,26,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,792,126

LCM of Fractions 62/25,792/26,126/472 is 171864

2 62, 792, 126
3 31, 396, 63
3 31, 132, 21
31, 44, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 44 x 7 = 171864

Least Common Multiple of 62,792,126 with GCF Formula

Least Common Multiple of 62,792,126 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,792,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,792,126) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(62,792,126) x common factors =2 x 18 = 36

LCM(62,792,126) = ( 62 × 792 × 126 ) / 36

LCM(62,792,126) = 6187104 / 36

LCM(62,792,126) = 171864


Lets's calculate GCF of 25,26,472

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171864/1

Therefore the LCM of Fractions 62/25,792/26,126/472 is 171864

Greatest Common Factor of 25,26,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,26,472 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 25,26,472 . The biggest common factor number is the GCF number.
So the greatest common factor 25,26,472 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 62/25, 792/26, 126/472

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 62/25, 792/26, 126/472?

Answer: LCM of Numerators as per given numbers 62/25, 792/26, 126/472 is

LCM of Numerators i.e. for 62,792,126 is 171864

GCF of denominators i.e. for 25,26,472 is 1.

Thus, LCM of Fractions is 171864.Finally, LCM of Fractions for 62/25, 792/26, 126/472 is 171864.