Least Common Multiple of 318/90, 731/19, 917/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/90, 731/19, 917/472 quickly i.e. 213163986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/90, 731/19, 917/472 is 213163986.

LCM(318/90, 731/19, 917/472) = 213163986

LCM of 318/90, 731/19, 917/472

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 318/90,731/19,917/472

Given numbers are 318/90,731/19,917/472

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 318,731,917

Least Common Multiple of Numerators i.e. LCM of 318,731,917 is 213163986.

GCF of Denominators means GCF of 90,19,472 as per the given fractions.

GCF of 90,19,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,731,917

LCM of Fractions 318/90,731/19,917/472 is 213163986

Given numbers has no common factors except 1. So, there LCM is their product i.e 213163986

Least Common Multiple of 318,731,917 with GCF Formula

Least Common Multiple of 318,731,917 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 318,731,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,731,917) = 1

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

GCF(318,731,917) x common factors =1 x 1 = 1

LCM(318,731,917) = ( 318 × 731 × 917 ) / 1

LCM(318,731,917) = 213163986 / 1

LCM(318,731,917) = 213163986


Lets's calculate GCF of 90,19,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213163986/1

Therefore the LCM of Fractions 318/90,731/19,917/472 is 213163986

Greatest Common Factor of 90,19,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,19,472 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 90,19,472 . The biggest common factor number is the GCF number.
So the greatest common factor 90,19,472 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 318/90, 731/19, 917/472

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 318/90, 731/19, 917/472?

Answer: LCM of Numerators as per given numbers 318/90, 731/19, 917/472 is

LCM of Numerators i.e. for 318,731,917 is 213163986

GCF of denominators i.e. for 90,19,472 is 1.

Thus, LCM of Fractions is 213163986.Finally, LCM of Fractions for 318/90, 731/19, 917/472 is 213163986.