Least Common Multiple of 97/35, 549/57, 524/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/35, 549/57, 524/543 quickly i.e. 27904572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/35, 549/57, 524/543 is 27904572.

LCM(97/35, 549/57, 524/543) = 27904572

LCM of 97/35, 549/57, 524/543

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 97/35,549/57,524/543

Given numbers are 97/35,549/57,524/543

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 97,549,524

Least Common Multiple of Numerators i.e. LCM of 97,549,524 is 27904572.

GCF of Denominators means GCF of 35,57,543 as per the given fractions.

GCF of 35,57,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,549,524

LCM of Fractions 97/35,549/57,524/543 is 27904572

Given numbers has no common factors except 1. So, there LCM is their product i.e 27904572

Least Common Multiple of 97,549,524 with GCF Formula

Least Common Multiple of 97,549,524 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 97,549,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,549,524) = 1

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

GCF(97,549,524) x common factors =1 x 1 = 1

LCM(97,549,524) = ( 97 × 549 × 524 ) / 1

LCM(97,549,524) = 27904572 / 1

LCM(97,549,524) = 27904572


Lets's calculate GCF of 35,57,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27904572/1

Therefore the LCM of Fractions 97/35,549/57,524/543 is 27904572

Greatest Common Factor of 35,57,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,57,543 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 35,57,543 . The biggest common factor number is the GCF number.
So the greatest common factor 35,57,543 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 97/35, 549/57, 524/543

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 97/35, 549/57, 524/543?

Answer: LCM of Numerators as per given numbers 97/35, 549/57, 524/543 is

LCM of Numerators i.e. for 97,549,524 is 27904572

GCF of denominators i.e. for 35,57,543 is 1.

Thus, LCM of Fractions is 27904572.Finally, LCM of Fractions for 97/35, 549/57, 524/543 is 27904572.