Least Common Multiple of 72/826, 923/908, 476/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/826, 923/908, 476/765 quickly i.e. 7908264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/826, 923/908, 476/765 is 7908264.

LCM(72/826, 923/908, 476/765) = 7908264

LCM of 72/826, 923/908, 476/765

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 72/826,923/908,476/765

Given numbers are 72/826,923/908,476/765

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 72,923,476

Least Common Multiple of Numerators i.e. LCM of 72,923,476 is 7908264.

GCF of Denominators means GCF of 826,908,765 as per the given fractions.

GCF of 826,908,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,923,476

LCM of Fractions 72/826,923/908,476/765 is 7908264

2 72, 923, 476
2 36, 923, 238
18, 923, 119

∴ So the LCM of the given numbers is 2 x 2 x 18 x 923 x 119 = 7908264

Least Common Multiple of 72,923,476 with GCF Formula

Least Common Multiple of 72,923,476 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 72,923,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,923,476) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(72,923,476) x common factors =1 x 4 = 4

LCM(72,923,476) = ( 72 × 923 × 476 ) / 4

LCM(72,923,476) = 31633056 / 4

LCM(72,923,476) = 7908264


Lets's calculate GCF of 826,908,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7908264/1

Therefore the LCM of Fractions 72/826,923/908,476/765 is 7908264

Greatest Common Factor of 826,908,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,908,765 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 826,908,765 . The biggest common factor number is the GCF number.
So the greatest common factor 826,908,765 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 72/826, 923/908, 476/765

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 72/826, 923/908, 476/765?

Answer: LCM of Numerators as per given numbers 72/826, 923/908, 476/765 is

LCM of Numerators i.e. for 72,923,476 is 7908264

GCF of denominators i.e. for 826,908,765 is 1.

Thus, LCM of Fractions is 7908264.Finally, LCM of Fractions for 72/826, 923/908, 476/765 is 7908264.