Least Common Multiple of 73/557, 97/240, 421/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/557, 97/240, 421/296 quickly i.e. 2981101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/557, 97/240, 421/296 is 2981101.

LCM(73/557, 97/240, 421/296) = 2981101

LCM of 73/557, 97/240, 421/296

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 73/557,97/240,421/296

Given numbers are 73/557,97/240,421/296

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 73,97,421

Least Common Multiple of Numerators i.e. LCM of 73,97,421 is 2981101.

GCF of Denominators means GCF of 557,240,296 as per the given fractions.

GCF of 557,240,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,97,421

LCM of Fractions 73/557,97/240,421/296 is 2981101

Given numbers has no common factors except 1. So, there LCM is their product i.e 2981101

Least Common Multiple of 73,97,421 with GCF Formula

Least Common Multiple of 73,97,421 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 73,97,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,97,421) = 1

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

GCF(73,97,421) x common factors =1 x 1 = 1

LCM(73,97,421) = ( 73 × 97 × 421 ) / 1

LCM(73,97,421) = 2981101 / 1

LCM(73,97,421) = 2981101


Lets's calculate GCF of 557,240,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2981101/1

Therefore the LCM of Fractions 73/557,97/240,421/296 is 2981101

Greatest Common Factor of 557,240,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,240,296 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 557,240,296 . The biggest common factor number is the GCF number.
So the greatest common factor 557,240,296 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 73/557, 97/240, 421/296

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 73/557, 97/240, 421/296?

Answer: LCM of Numerators as per given numbers 73/557, 97/240, 421/296 is

LCM of Numerators i.e. for 73,97,421 is 2981101

GCF of denominators i.e. for 557,240,296 is 1.

Thus, LCM of Fractions is 2981101.Finally, LCM of Fractions for 73/557, 97/240, 421/296 is 2981101.