Least Common Multiple of 42/583, 54/413, 757/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/583, 54/413, 757/294 quickly i.e. 286146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/583, 54/413, 757/294 is 286146.

LCM(42/583, 54/413, 757/294) = 286146

LCM of 42/583, 54/413, 757/294

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 42/583,54/413,757/294

Given numbers are 42/583,54/413,757/294

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 42,54,757

Least Common Multiple of Numerators i.e. LCM of 42,54,757 is 286146.

GCF of Denominators means GCF of 583,413,294 as per the given fractions.

GCF of 583,413,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,54,757

LCM of Fractions 42/583,54/413,757/294 is 286146

2 42, 54, 757
3 21, 27, 757
7, 9, 757

∴ So the LCM of the given numbers is 2 x 3 x 7 x 9 x 757 = 286146

Least Common Multiple of 42,54,757 with GCF Formula

Least Common Multiple of 42,54,757 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 42,54,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,54,757) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,54,757) x common factors =1 x 6 = 6

LCM(42,54,757) = ( 42 × 54 × 757 ) / 6

LCM(42,54,757) = 1716876 / 6

LCM(42,54,757) = 286146


Lets's calculate GCF of 583,413,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286146/1

Therefore the LCM of Fractions 42/583,54/413,757/294 is 286146

Greatest Common Factor of 583,413,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,413,294 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 583,413,294 . The biggest common factor number is the GCF number.
So the greatest common factor 583,413,294 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 42/583, 54/413, 757/294

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 42/583, 54/413, 757/294?

Answer: LCM of Numerators as per given numbers 42/583, 54/413, 757/294 is

LCM of Numerators i.e. for 42,54,757 is 286146

GCF of denominators i.e. for 583,413,294 is 1.

Thus, LCM of Fractions is 286146.Finally, LCM of Fractions for 42/583, 54/413, 757/294 is 286146.