Least Common Multiple of 891/75, 8761/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 891/75, 8761/642 quickly i.e. 2602017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 891/75, 8761/642 is 2602017.

LCM(891/75, 8761/642) = 2602017

LCM of 891/75, 8761/642

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 891/75,8761/642

Given numbers are 891/75,8761/642

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 891,8761

Least Common Multiple of Numerators i.e. LCM of 891,8761 is 7806051.

GCF of Denominators means GCF of 75,642 as per the given fractions.

GCF of 75,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 891,8761

LCM of Fractions 891/75,8761/642 is 2602017

Given numbers has no common factors except 1. So, there LCM is their product i.e 7806051

Least Common Multiple of 891,8761 with GCF Formula

Least Common Multiple of 891,8761 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 891,8761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,8761) = 1

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

GCF(891,8761) x common factors =1 x 1 = 1

LCM(891,8761) = ( 891 × 8761 ) / 1

LCM(891,8761) = 7806051 / 1

LCM(891,8761) = 7806051


Lets's calculate GCF of 75,642

3 75, 642
25, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7806051/3

Therefore the LCM of Fractions 891/75,8761/642 is 2602017

Greatest Common Factor of 75,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,642 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 75,642 . The biggest common factor number is the GCF number.
So the greatest common factor 75,642 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 891/75, 8761/642

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 891/75, 8761/642?

Answer: LCM of Numerators as per given numbers 891/75, 8761/642 is

LCM of Numerators i.e. for 891,8761 is 7806051

GCF of denominators i.e. for 75,642 is 3.

Thus, LCM of Fractions is 2602017.Finally, LCM of Fractions for 891/75, 8761/642 is 2602017.