Least Common Multiple of 522/795, 479/291, 340/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 522/795, 479/291, 340/575 quickly i.e. 42506460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/795, 479/291, 340/575 is 42506460.

LCM(522/795, 479/291, 340/575) = 42506460

LCM of 522/795, 479/291, 340/575

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 522/795,479/291,340/575

Given numbers are 522/795,479/291,340/575

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 522,479,340

Least Common Multiple of Numerators i.e. LCM of 522,479,340 is 42506460.

GCF of Denominators means GCF of 795,291,575 as per the given fractions.

GCF of 795,291,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,479,340

LCM of Fractions 522/795,479/291,340/575 is 42506460

2 522, 479, 340
261, 479, 170

∴ So the LCM of the given numbers is 2 x 261 x 479 x 170 = 42506460

Least Common Multiple of 522,479,340 with GCF Formula

Least Common Multiple of 522,479,340 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 522,479,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,479,340) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(522,479,340) x common factors =1 x 2 = 2

LCM(522,479,340) = ( 522 × 479 × 340 ) / 2

LCM(522,479,340) = 85012920 / 2

LCM(522,479,340) = 42506460


Lets's calculate GCF of 795,291,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42506460/1

Therefore the LCM of Fractions 522/795,479/291,340/575 is 42506460

Greatest Common Factor of 795,291,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,291,575 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 291

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

1,3,97,291

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 795,291,575 . The biggest common factor number is the GCF number.
So the greatest common factor 795,291,575 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 522/795, 479/291, 340/575

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 522/795, 479/291, 340/575?

Answer: LCM of Numerators as per given numbers 522/795, 479/291, 340/575 is

LCM of Numerators i.e. for 522,479,340 is 42506460

GCF of denominators i.e. for 795,291,575 is 1.

Thus, LCM of Fractions is 42506460.Finally, LCM of Fractions for 522/795, 479/291, 340/575 is 42506460.