Least Common Multiple of 762/52, 116/3738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/52, 116/3738 quickly i.e. 22098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/52, 116/3738 is 22098.

LCM(762/52, 116/3738) = 22098

LCM of 762/52, 116/3738

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 762/52,116/3738

Given numbers are 762/52,116/3738

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 762,116

Least Common Multiple of Numerators i.e. LCM of 762,116 is 44196.

GCF of Denominators means GCF of 52,3738 as per the given fractions.

GCF of 52,3738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,116

LCM of Fractions 762/52,116/3738 is 22098

2 762, 116
381, 58

∴ So the LCM of the given numbers is 2 x 381 x 58 = 44196

Least Common Multiple of 762,116 with GCF Formula

Least Common Multiple of 762,116 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 762,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,116) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(762,116) x common factors =2 x 1 = 2

LCM(762,116) = ( 762 × 116 ) / 2

LCM(762,116) = 88392 / 2

LCM(762,116) = 44196


Lets's calculate GCF of 52,3738

2 52, 3738
26, 1869

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44196/2

Therefore the LCM of Fractions 762/52,116/3738 is 22098

Greatest Common Factor of 52,3738 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,3738 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Greatest Common Factor

We found the factors 52,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 52,3738 is 2.


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 762/52, 116/3738

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 762/52, 116/3738?

Answer: LCM of Numerators as per given numbers 762/52, 116/3738 is

LCM of Numerators i.e. for 762,116 is 44196

GCF of denominators i.e. for 52,3738 is 2.

Thus, LCM of Fractions is 22098.Finally, LCM of Fractions for 762/52, 116/3738 is 22098.