Least Common Multiple of 524/13, 303/47, 518/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 524/13, 303/47, 518/317 quickly i.e. 41121948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/13, 303/47, 518/317 is 41121948.

LCM(524/13, 303/47, 518/317) = 41121948

LCM of 524/13, 303/47, 518/317

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 524/13,303/47,518/317

Given numbers are 524/13,303/47,518/317

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 524,303,518

Least Common Multiple of Numerators i.e. LCM of 524,303,518 is 41121948.

GCF of Denominators means GCF of 13,47,317 as per the given fractions.

GCF of 13,47,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,303,518

LCM of Fractions 524/13,303/47,518/317 is 41121948

2 524, 303, 518
262, 303, 259

∴ So the LCM of the given numbers is 2 x 262 x 303 x 259 = 41121948

Least Common Multiple of 524,303,518 with GCF Formula

Least Common Multiple of 524,303,518 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 524,303,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,303,518) = 1

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

GCF(524,303,518) x common factors =1 x 2 = 2

LCM(524,303,518) = ( 524 × 303 × 518 ) / 2

LCM(524,303,518) = 82243896 / 2

LCM(524,303,518) = 41121948


Lets's calculate GCF of 13,47,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41121948/1

Therefore the LCM of Fractions 524/13,303/47,518/317 is 41121948

Greatest Common Factor of 13,47,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,47,317 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 13,47,317 . The biggest common factor number is the GCF number.
So the greatest common factor 13,47,317 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 524/13, 303/47, 518/317

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 524/13, 303/47, 518/317?

Answer: LCM of Numerators as per given numbers 524/13, 303/47, 518/317 is

LCM of Numerators i.e. for 524,303,518 is 41121948

GCF of denominators i.e. for 13,47,317 is 1.

Thus, LCM of Fractions is 41121948.Finally, LCM of Fractions for 524/13, 303/47, 518/317 is 41121948.