Least Common Multiple of 318/42, 479/6518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 318/42, 479/6518 quickly i.e. 76161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/42, 479/6518 is 76161.

LCM(318/42, 479/6518) = 76161

LCM of 318/42, 479/6518

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 318/42,479/6518

Given numbers are 318/42,479/6518

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 318,479

Least Common Multiple of Numerators i.e. LCM of 318,479 is 152322.

GCF of Denominators means GCF of 42,6518 as per the given fractions.

GCF of 42,6518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,479

LCM of Fractions 318/42,479/6518 is 76161

Given numbers has no common factors except 1. So, there LCM is their product i.e 152322

Least Common Multiple of 318,479 with GCF Formula

Least Common Multiple of 318,479 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 318,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,479) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(318,479) x common factors =1 x 1 = 1

LCM(318,479) = ( 318 × 479 ) / 1

LCM(318,479) = 152322 / 1

LCM(318,479) = 152322


Lets's calculate GCF of 42,6518

2 42, 6518
21, 3259

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152322/2

Therefore the LCM of Fractions 318/42,479/6518 is 76161

Greatest Common Factor of 42,6518 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,6518 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 6518

List of positive integer factors of 6518 that divides 6518 without a remainder.

1,2,3259,6518

Greatest Common Factor

We found the factors 42,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 42,6518 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 318/42, 479/6518

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 318/42, 479/6518?

Answer: LCM of Numerators as per given numbers 318/42, 479/6518 is

LCM of Numerators i.e. for 318,479 is 152322

GCF of denominators i.e. for 42,6518 is 2.

Thus, LCM of Fractions is 76161.Finally, LCM of Fractions for 318/42, 479/6518 is 76161.