Least Common Multiple of 279/377, 3666/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 279/377, 3666/656 quickly i.e. 340938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/377, 3666/656 is 340938.

LCM(279/377, 3666/656) = 340938

LCM of 279/377, 3666/656

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 279/377,3666/656

Given numbers are 279/377,3666/656

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 279,3666

Least Common Multiple of Numerators i.e. LCM of 279,3666 is 340938.

GCF of Denominators means GCF of 377,656 as per the given fractions.

GCF of 377,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,3666

LCM of Fractions 279/377,3666/656 is 340938

3 279, 3666
93, 1222

∴ So the LCM of the given numbers is 3 x 93 x 1222 = 340938

Least Common Multiple of 279,3666 with GCF Formula

Least Common Multiple of 279,3666 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 279,3666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,3666) = 3

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

GCF(279,3666) x common factors =3 x 1 = 3

LCM(279,3666) = ( 279 × 3666 ) / 3

LCM(279,3666) = 1022814 / 3

LCM(279,3666) = 340938


Lets's calculate GCF of 377,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340938/1

Therefore the LCM of Fractions 279/377,3666/656 is 340938

Greatest Common Factor of 377,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,656 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 377,656 . The biggest common factor number is the GCF number.
So the greatest common factor 377,656 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 279/377, 3666/656

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 279/377, 3666/656?

Answer: LCM of Numerators as per given numbers 279/377, 3666/656 is

LCM of Numerators i.e. for 279,3666 is 340938

GCF of denominators i.e. for 377,656 is 1.

Thus, LCM of Fractions is 340938.Finally, LCM of Fractions for 279/377, 3666/656 is 340938.