Least Common Multiple of 4657/268, 7739/2924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4657/268, 7739/2924 quickly i.e. 36040523/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4657/268, 7739/2924 is 36040523/4.

LCM(4657/268, 7739/2924) = 36040523/4

LCM of 4657/268, 7739/2924

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 4657/268,7739/2924

Given numbers are 4657/268,7739/2924

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 4657,7739

Least Common Multiple of Numerators i.e. LCM of 4657,7739 is 36040523.

GCF of Denominators means GCF of 268,2924 as per the given fractions.

GCF of 268,2924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4657,7739

LCM of Fractions 4657/268,7739/2924 is 36040523/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 36040523

Least Common Multiple of 4657,7739 with GCF Formula

Least Common Multiple of 4657,7739 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 4657,7739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4657,7739) = 1

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

GCF(4657,7739) x common factors =1 x 1 = 1

LCM(4657,7739) = ( 4657 × 7739 ) / 1

LCM(4657,7739) = 36040523 / 1

LCM(4657,7739) = 36040523


Lets's calculate GCF of 268,2924

2 268, 2924
2 134, 1462
67, 731

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36040523/4

Therefore the LCM of Fractions 4657/268,7739/2924 is 36040523/4

Greatest Common Factor of 268,2924 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,2924 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1,2,4,17,34,43,68,86,172,731,1462,2924

Greatest Common Factor

We found the factors 268,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 268,2924 is 4.


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 4657/268, 7739/2924

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 4657/268, 7739/2924?

Answer: LCM of Numerators as per given numbers 4657/268, 7739/2924 is

LCM of Numerators i.e. for 4657,7739 is 36040523

GCF of denominators i.e. for 268,2924 is 4.

Thus, LCM of Fractions is 36040523/4.Finally, LCM of Fractions for 4657/268, 7739/2924 is 36040523/4.