Least Common Multiple of 977/380, 961/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/380, 961/579 quickly i.e. 938897 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/380, 961/579 is 938897.

LCM(977/380, 961/579) = 938897

LCM of 977/380, 961/579

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 977/380,961/579

Given numbers are 977/380,961/579

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 977,961

Least Common Multiple of Numerators i.e. LCM of 977,961 is 938897.

GCF of Denominators means GCF of 380,579 as per the given fractions.

GCF of 380,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,961

LCM of Fractions 977/380,961/579 is 938897

Given numbers has no common factors except 1. So, there LCM is their product i.e 938897

Least Common Multiple of 977,961 with GCF Formula

Least Common Multiple of 977,961 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 977,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,961) = 1

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

GCF(977,961) x common factors =1 x 1 = 1

LCM(977,961) = ( 977 × 961 ) / 1

LCM(977,961) = 938897 / 1

LCM(977,961) = 938897


Lets's calculate GCF of 380,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 938897/1

Therefore the LCM of Fractions 977/380,961/579 is 938897

Greatest Common Factor of 380,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,579 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 380,579 . The biggest common factor number is the GCF number.
So the greatest common factor 380,579 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 977/380, 961/579

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 977/380, 961/579?

Answer: LCM of Numerators as per given numbers 977/380, 961/579 is

LCM of Numerators i.e. for 977,961 is 938897

GCF of denominators i.e. for 380,579 is 1.

Thus, LCM of Fractions is 938897.Finally, LCM of Fractions for 977/380, 961/579 is 938897.