Least Common Multiple of 62/61, 82/48, 31/26, 52/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/61, 82/48, 31/26, 52/757 quickly i.e. 66092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/61, 82/48, 31/26, 52/757 is 66092.

LCM(62/61, 82/48, 31/26, 52/757) = 66092

LCM of 62/61, 82/48, 31/26, 52/757

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 62/61,82/48,31/26,52/757

Given numbers are 62/61,82/48,31/26,52/757

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 62,82,31,52

Least Common Multiple of Numerators i.e. LCM of 62,82,31,52 is 66092.

GCF of Denominators means GCF of 61,48,26,757 as per the given fractions.

GCF of 61,48,26,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,82,31,52

LCM of Fractions 62/61,82/48,31/26,52/757 is 66092

2 62, 82, 31, 52
31 31, 41, 31, 26
1, 41, 1, 26

∴ So the LCM of the given numbers is 2 x 31 x 1 x 41 x 1 x 26 = 66092

Least Common Multiple of 62,82,31,52 with GCF Formula

Least Common Multiple of 62,82,31,52 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 62,82,31,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,82,31,52) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(62,82,31,52) x common factors =1 x 124 = 124

LCM(62,82,31,52) = ( 62 × 82 × 31 × 52 ) / 124

LCM(62,82,31,52) = 8195408 / 124

LCM(62,82,31,52) = 66092


Lets's calculate GCF of 61,48,26,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66092/1

Therefore the LCM of Fractions 62/61,82/48,31/26,52/757 is 66092

Greatest Common Factor of 61,48,26,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,48,26,757 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 26

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

1,2,13,26

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 61,48,26,757 . The biggest common factor number is the GCF number.
So the greatest common factor 61,48,26,757 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 62/61, 82/48, 31/26, 52/757

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 62/61, 82/48, 31/26, 52/757?

Answer: LCM of Numerators as per given numbers 62/61, 82/48, 31/26, 52/757 is

LCM of Numerators i.e. for 62,82,31,52 is 66092

GCF of denominators i.e. for 61,48,26,757 is 1.

Thus, LCM of Fractions is 66092.Finally, LCM of Fractions for 62/61, 82/48, 31/26, 52/757 is 66092.