Least Common Multiple of 523/291, 495/213, 470/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/291, 495/213, 470/542 quickly i.e. 24335190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/291, 495/213, 470/542 is 24335190.

LCM(523/291, 495/213, 470/542) = 24335190

LCM of 523/291, 495/213, 470/542

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 523/291,495/213,470/542

Given numbers are 523/291,495/213,470/542

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 523,495,470

Least Common Multiple of Numerators i.e. LCM of 523,495,470 is 24335190.

GCF of Denominators means GCF of 291,213,542 as per the given fractions.

GCF of 291,213,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,495,470

LCM of Fractions 523/291,495/213,470/542 is 24335190

5 523, 495, 470
523, 99, 94

∴ So the LCM of the given numbers is 5 x 523 x 99 x 94 = 24335190

Least Common Multiple of 523,495,470 with GCF Formula

Least Common Multiple of 523,495,470 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 523,495,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,495,470) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(523,495,470) x common factors =1 x 5 = 5

LCM(523,495,470) = ( 523 × 495 × 470 ) / 5

LCM(523,495,470) = 121675950 / 5

LCM(523,495,470) = 24335190


Lets's calculate GCF of 291,213,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24335190/1

Therefore the LCM of Fractions 523/291,495/213,470/542 is 24335190

Greatest Common Factor of 291,213,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,213,542 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 291,213,542 . The biggest common factor number is the GCF number.
So the greatest common factor 291,213,542 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 523/291, 495/213, 470/542

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 523/291, 495/213, 470/542?

Answer: LCM of Numerators as per given numbers 523/291, 495/213, 470/542 is

LCM of Numerators i.e. for 523,495,470 is 24335190

GCF of denominators i.e. for 291,213,542 is 1.

Thus, LCM of Fractions is 24335190.Finally, LCM of Fractions for 523/291, 495/213, 470/542 is 24335190.