Least Common Multiple of 547/165, 942/315, 571/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 547/165, 942/315, 571/938 quickly i.e. 294221454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 547/165, 942/315, 571/938 is 294221454.

LCM(547/165, 942/315, 571/938) = 294221454

LCM of 547/165, 942/315, 571/938

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 547/165,942/315,571/938

Given numbers are 547/165,942/315,571/938

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 547,942,571

Least Common Multiple of Numerators i.e. LCM of 547,942,571 is 294221454.

GCF of Denominators means GCF of 165,315,938 as per the given fractions.

GCF of 165,315,938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 547,942,571

LCM of Fractions 547/165,942/315,571/938 is 294221454

Given numbers has no common factors except 1. So, there LCM is their product i.e 294221454

Least Common Multiple of 547,942,571 with GCF Formula

Least Common Multiple of 547,942,571 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 547,942,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,942,571) = 1

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

GCF(547,942,571) x common factors =1 x 1 = 1

LCM(547,942,571) = ( 547 × 942 × 571 ) / 1

LCM(547,942,571) = 294221454 / 1

LCM(547,942,571) = 294221454


Lets's calculate GCF of 165,315,938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294221454/1

Therefore the LCM of Fractions 547/165,942/315,571/938 is 294221454

Greatest Common Factor of 165,315,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,315,938 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 165,315,938 . The biggest common factor number is the GCF number.
So the greatest common factor 165,315,938 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 547/165, 942/315, 571/938

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 547/165, 942/315, 571/938?

Answer: LCM of Numerators as per given numbers 547/165, 942/315, 571/938 is

LCM of Numerators i.e. for 547,942,571 is 294221454

GCF of denominators i.e. for 165,315,938 is 1.

Thus, LCM of Fractions is 294221454.Finally, LCM of Fractions for 547/165, 942/315, 571/938 is 294221454.