Least Common Multiple of 542/429, 495/861, 897/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/429, 495/861, 897/274 quickly i.e. 80218710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/429, 495/861, 897/274 is 80218710.

LCM(542/429, 495/861, 897/274) = 80218710

LCM of 542/429, 495/861, 897/274

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 542/429,495/861,897/274

Given numbers are 542/429,495/861,897/274

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 542,495,897

Least Common Multiple of Numerators i.e. LCM of 542,495,897 is 80218710.

GCF of Denominators means GCF of 429,861,274 as per the given fractions.

GCF of 429,861,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,495,897

LCM of Fractions 542/429,495/861,897/274 is 80218710

3 542, 495, 897
542, 165, 299

∴ So the LCM of the given numbers is 3 x 542 x 165 x 299 = 80218710

Least Common Multiple of 542,495,897 with GCF Formula

Least Common Multiple of 542,495,897 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 542,495,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,495,897) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(542,495,897) x common factors =1 x 3 = 3

LCM(542,495,897) = ( 542 × 495 × 897 ) / 3

LCM(542,495,897) = 240656130 / 3

LCM(542,495,897) = 80218710


Lets's calculate GCF of 429,861,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80218710/1

Therefore the LCM of Fractions 542/429,495/861,897/274 is 80218710

Greatest Common Factor of 429,861,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,861,274 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 429,861,274 . The biggest common factor number is the GCF number.
So the greatest common factor 429,861,274 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 542/429, 495/861, 897/274

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 542/429, 495/861, 897/274?

Answer: LCM of Numerators as per given numbers 542/429, 495/861, 897/274 is

LCM of Numerators i.e. for 542,495,897 is 80218710

GCF of denominators i.e. for 429,861,274 is 1.

Thus, LCM of Fractions is 80218710.Finally, LCM of Fractions for 542/429, 495/861, 897/274 is 80218710.