Least Common Multiple of 79/243, 58/382, 627/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/243, 58/382, 627/978 quickly i.e. 2872914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/243, 58/382, 627/978 is 2872914.

LCM(79/243, 58/382, 627/978) = 2872914

LCM of 79/243, 58/382, 627/978

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 79/243,58/382,627/978

Given numbers are 79/243,58/382,627/978

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 79,58,627

Least Common Multiple of Numerators i.e. LCM of 79,58,627 is 2872914.

GCF of Denominators means GCF of 243,382,978 as per the given fractions.

GCF of 243,382,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,58,627

LCM of Fractions 79/243,58/382,627/978 is 2872914

Given numbers has no common factors except 1. So, there LCM is their product i.e 2872914

Least Common Multiple of 79,58,627 with GCF Formula

Least Common Multiple of 79,58,627 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 79,58,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,58,627) = 1

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

GCF(79,58,627) x common factors =1 x 1 = 1

LCM(79,58,627) = ( 79 × 58 × 627 ) / 1

LCM(79,58,627) = 2872914 / 1

LCM(79,58,627) = 2872914


Lets's calculate GCF of 243,382,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2872914/1

Therefore the LCM of Fractions 79/243,58/382,627/978 is 2872914

Greatest Common Factor of 243,382,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,382,978 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 243,382,978 . The biggest common factor number is the GCF number.
So the greatest common factor 243,382,978 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 79/243, 58/382, 627/978

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 79/243, 58/382, 627/978?

Answer: LCM of Numerators as per given numbers 79/243, 58/382, 627/978 is

LCM of Numerators i.e. for 79,58,627 is 2872914

GCF of denominators i.e. for 243,382,978 is 1.

Thus, LCM of Fractions is 2872914.Finally, LCM of Fractions for 79/243, 58/382, 627/978 is 2872914.