Least Common Multiple of 977/89, 315/25, 241/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/89, 315/25, 241/524 quickly i.e. 74168955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/89, 315/25, 241/524 is 74168955.

LCM(977/89, 315/25, 241/524) = 74168955

LCM of 977/89, 315/25, 241/524

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 977/89,315/25,241/524

Given numbers are 977/89,315/25,241/524

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 977,315,241

Least Common Multiple of Numerators i.e. LCM of 977,315,241 is 74168955.

GCF of Denominators means GCF of 89,25,524 as per the given fractions.

GCF of 89,25,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,315,241

LCM of Fractions 977/89,315/25,241/524 is 74168955

Given numbers has no common factors except 1. So, there LCM is their product i.e 74168955

Least Common Multiple of 977,315,241 with GCF Formula

Least Common Multiple of 977,315,241 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 977,315,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,315,241) = 1

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

GCF(977,315,241) x common factors =1 x 1 = 1

LCM(977,315,241) = ( 977 × 315 × 241 ) / 1

LCM(977,315,241) = 74168955 / 1

LCM(977,315,241) = 74168955


Lets's calculate GCF of 89,25,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74168955/1

Therefore the LCM of Fractions 977/89,315/25,241/524 is 74168955

Greatest Common Factor of 89,25,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,25,524 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 89,25,524 . The biggest common factor number is the GCF number.
So the greatest common factor 89,25,524 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 977/89, 315/25, 241/524

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 977/89, 315/25, 241/524?

Answer: LCM of Numerators as per given numbers 977/89, 315/25, 241/524 is

LCM of Numerators i.e. for 977,315,241 is 74168955

GCF of denominators i.e. for 89,25,524 is 1.

Thus, LCM of Fractions is 74168955.Finally, LCM of Fractions for 977/89, 315/25, 241/524 is 74168955.