Least Common Multiple of 871/915, 784/815, 664/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 871/915, 784/815, 664/748 quickly i.e. 56677712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/915, 784/815, 664/748 is 56677712.

LCM(871/915, 784/815, 664/748) = 56677712

LCM of 871/915, 784/815, 664/748

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 871/915,784/815,664/748

Given numbers are 871/915,784/815,664/748

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 871,784,664

Least Common Multiple of Numerators i.e. LCM of 871,784,664 is 56677712.

GCF of Denominators means GCF of 915,815,748 as per the given fractions.

GCF of 915,815,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,784,664

LCM of Fractions 871/915,784/815,664/748 is 56677712

2 871, 784, 664
2 871, 392, 332
2 871, 196, 166
871, 98, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 871 x 98 x 83 = 56677712

Least Common Multiple of 871,784,664 with GCF Formula

Least Common Multiple of 871,784,664 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 871,784,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,784,664) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(871,784,664) x common factors =1 x 8 = 8

LCM(871,784,664) = ( 871 × 784 × 664 ) / 8

LCM(871,784,664) = 453421696 / 8

LCM(871,784,664) = 56677712


Lets's calculate GCF of 915,815,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56677712/1

Therefore the LCM of Fractions 871/915,784/815,664/748 is 56677712

Greatest Common Factor of 915,815,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,815,748 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 915,815,748 . The biggest common factor number is the GCF number.
So the greatest common factor 915,815,748 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 871/915, 784/815, 664/748

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 871/915, 784/815, 664/748?

Answer: LCM of Numerators as per given numbers 871/915, 784/815, 664/748 is

LCM of Numerators i.e. for 871,784,664 is 56677712

GCF of denominators i.e. for 915,815,748 is 1.

Thus, LCM of Fractions is 56677712.Finally, LCM of Fractions for 871/915, 784/815, 664/748 is 56677712.