Least Common Multiple of 341/376, 853/640, 123/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 341/376, 853/640, 123/272 quickly i.e. 35777379/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/376, 853/640, 123/272 is 35777379/8.

LCM(341/376, 853/640, 123/272) = 35777379/8

LCM of 341/376, 853/640, 123/272

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 341/376,853/640,123/272

Given numbers are 341/376,853/640,123/272

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 341,853,123

Least Common Multiple of Numerators i.e. LCM of 341,853,123 is 35777379.

GCF of Denominators means GCF of 376,640,272 as per the given fractions.

GCF of 376,640,272 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,853,123

LCM of Fractions 341/376,853/640,123/272 is 35777379/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 35777379

Least Common Multiple of 341,853,123 with GCF Formula

Least Common Multiple of 341,853,123 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 341,853,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,853,123) = 1

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

GCF(341,853,123) x common factors =1 x 1 = 1

LCM(341,853,123) = ( 341 × 853 × 123 ) / 1

LCM(341,853,123) = 35777379 / 1

LCM(341,853,123) = 35777379


Lets's calculate GCF of 376,640,272

2 376, 640, 272
2 188, 320, 136
2 94, 160, 68
47, 80, 34

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35777379/8

Therefore the LCM of Fractions 341/376,853/640,123/272 is 35777379/8

Greatest Common Factor of 376,640,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,640,272 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 376,640,272 . The biggest common factor number is the GCF number.
So the greatest common factor 376,640,272 is 8.


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 341/376, 853/640, 123/272

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 341/376, 853/640, 123/272?

Answer: LCM of Numerators as per given numbers 341/376, 853/640, 123/272 is

LCM of Numerators i.e. for 341,853,123 is 35777379

GCF of denominators i.e. for 376,640,272 is 8.

Thus, LCM of Fractions is 35777379/8.Finally, LCM of Fractions for 341/376, 853/640, 123/272 is 35777379/8.