Least Common Multiple of 973/575, 157/259, 461/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/575, 157/259, 461/359 quickly i.e. 70422821 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/575, 157/259, 461/359 is 70422821.

LCM(973/575, 157/259, 461/359) = 70422821

LCM of 973/575, 157/259, 461/359

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 973/575,157/259,461/359

Given numbers are 973/575,157/259,461/359

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 973,157,461

Least Common Multiple of Numerators i.e. LCM of 973,157,461 is 70422821.

GCF of Denominators means GCF of 575,259,359 as per the given fractions.

GCF of 575,259,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,157,461

LCM of Fractions 973/575,157/259,461/359 is 70422821

Given numbers has no common factors except 1. So, there LCM is their product i.e 70422821

Least Common Multiple of 973,157,461 with GCF Formula

Least Common Multiple of 973,157,461 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 973,157,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,157,461) = 1

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

GCF(973,157,461) x common factors =1 x 1 = 1

LCM(973,157,461) = ( 973 × 157 × 461 ) / 1

LCM(973,157,461) = 70422821 / 1

LCM(973,157,461) = 70422821


Lets's calculate GCF of 575,259,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70422821/1

Therefore the LCM of Fractions 973/575,157/259,461/359 is 70422821

Greatest Common Factor of 575,259,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,259,359 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 575,259,359 . The biggest common factor number is the GCF number.
So the greatest common factor 575,259,359 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 973/575, 157/259, 461/359

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 973/575, 157/259, 461/359?

Answer: LCM of Numerators as per given numbers 973/575, 157/259, 461/359 is

LCM of Numerators i.e. for 973,157,461 is 70422821

GCF of denominators i.e. for 575,259,359 is 1.

Thus, LCM of Fractions is 70422821.Finally, LCM of Fractions for 973/575, 157/259, 461/359 is 70422821.