Least Common Multiple of 909/813, 751/720, 918/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 909/813, 751/720, 918/360 quickly i.e. 23210406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/813, 751/720, 918/360 is 23210406.

LCM(909/813, 751/720, 918/360) = 23210406

LCM of 909/813, 751/720, 918/360

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 909/813,751/720,918/360

Given numbers are 909/813,751/720,918/360

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 909,751,918

Least Common Multiple of Numerators i.e. LCM of 909,751,918 is 69631218.

GCF of Denominators means GCF of 813,720,360 as per the given fractions.

GCF of 813,720,360 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,751,918

LCM of Fractions 909/813,751/720,918/360 is 23210406

3 909, 751, 918
3 303, 751, 306
101, 751, 102

∴ So the LCM of the given numbers is 3 x 3 x 101 x 751 x 102 = 69631218

Least Common Multiple of 909,751,918 with GCF Formula

Least Common Multiple of 909,751,918 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 909,751,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,751,918) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(909,751,918) x common factors =1 x 9 = 9

LCM(909,751,918) = ( 909 × 751 × 918 ) / 9

LCM(909,751,918) = 626680962 / 9

LCM(909,751,918) = 69631218


Lets's calculate GCF of 813,720,360

3 813, 720, 360
271, 240, 120

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69631218/3

Therefore the LCM of Fractions 909/813,751/720,918/360 is 23210406

Greatest Common Factor of 813,720,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,720,360 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 813,720,360 . The biggest common factor number is the GCF number.
So the greatest common factor 813,720,360 is 3.


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 909/813, 751/720, 918/360

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 909/813, 751/720, 918/360?

Answer: LCM of Numerators as per given numbers 909/813, 751/720, 918/360 is

LCM of Numerators i.e. for 909,751,918 is 69631218

GCF of denominators i.e. for 813,720,360 is 3.

Thus, LCM of Fractions is 23210406.Finally, LCM of Fractions for 909/813, 751/720, 918/360 is 23210406.