Least Common Multiple of 108/318, 8553/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 108/318, 8553/858 quickly i.e. 51318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/318, 8553/858 is 51318.

LCM(108/318, 8553/858) = 51318

LCM of 108/318, 8553/858

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 108/318,8553/858

Given numbers are 108/318,8553/858

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 108,8553

Least Common Multiple of Numerators i.e. LCM of 108,8553 is 307908.

GCF of Denominators means GCF of 318,858 as per the given fractions.

GCF of 318,858 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,8553

LCM of Fractions 108/318,8553/858 is 51318

3 108, 8553
36, 2851

∴ So the LCM of the given numbers is 3 x 36 x 2851 = 307908

Least Common Multiple of 108,8553 with GCF Formula

Least Common Multiple of 108,8553 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 108,8553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,8553) = 3

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

GCF(108,8553) x common factors =3 x 1 = 3

LCM(108,8553) = ( 108 × 8553 ) / 3

LCM(108,8553) = 923724 / 3

LCM(108,8553) = 307908


Lets's calculate GCF of 318,858

2 318, 858
3 159, 429
53, 143

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307908/6

Therefore the LCM of Fractions 108/318,8553/858 is 51318

Greatest Common Factor of 318,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,858 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 318,858 . The biggest common factor number is the GCF number.
So the greatest common factor 318,858 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 108/318, 8553/858

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 108/318, 8553/858?

Answer: LCM of Numerators as per given numbers 108/318, 8553/858 is

LCM of Numerators i.e. for 108,8553 is 307908

GCF of denominators i.e. for 318,858 is 6.

Thus, LCM of Fractions is 51318.Finally, LCM of Fractions for 108/318, 8553/858 is 51318.