Least Common Multiple of 70/885, 7692/5792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/885, 7692/5792 quickly i.e. 269220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/885, 7692/5792 is 269220.

LCM(70/885, 7692/5792) = 269220

LCM of 70/885, 7692/5792

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 70/885,7692/5792

Given numbers are 70/885,7692/5792

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 70,7692

Least Common Multiple of Numerators i.e. LCM of 70,7692 is 269220.

GCF of Denominators means GCF of 885,5792 as per the given fractions.

GCF of 885,5792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,7692

LCM of Fractions 70/885,7692/5792 is 269220

2 70, 7692
35, 3846

∴ So the LCM of the given numbers is 2 x 35 x 3846 = 269220

Least Common Multiple of 70,7692 with GCF Formula

Least Common Multiple of 70,7692 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 70,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,7692) = 2

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

GCF(70,7692) x common factors =2 x 1 = 2

LCM(70,7692) = ( 70 × 7692 ) / 2

LCM(70,7692) = 538440 / 2

LCM(70,7692) = 269220


Lets's calculate GCF of 885,5792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269220/1

Therefore the LCM of Fractions 70/885,7692/5792 is 269220

Greatest Common Factor of 885,5792 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,5792 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 5792

List of positive integer factors of 5792 that divides 5792 without a remainder.

1,2,4,8,16,32,181,362,724,1448,2896,5792

Greatest Common Factor

We found the factors 885,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 885,5792 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 70/885, 7692/5792

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 70/885, 7692/5792?

Answer: LCM of Numerators as per given numbers 70/885, 7692/5792 is

LCM of Numerators i.e. for 70,7692 is 269220

GCF of denominators i.e. for 885,5792 is 1.

Thus, LCM of Fractions is 269220.Finally, LCM of Fractions for 70/885, 7692/5792 is 269220.