Least Common Multiple of 89/60, 706/11, 920/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/60, 706/11, 920/891 quickly i.e. 28903640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/60, 706/11, 920/891 is 28903640.

LCM(89/60, 706/11, 920/891) = 28903640

LCM of 89/60, 706/11, 920/891

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 89/60,706/11,920/891

Given numbers are 89/60,706/11,920/891

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 89,706,920

Least Common Multiple of Numerators i.e. LCM of 89,706,920 is 28903640.

GCF of Denominators means GCF of 60,11,891 as per the given fractions.

GCF of 60,11,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,706,920

LCM of Fractions 89/60,706/11,920/891 is 28903640

2 89, 706, 920
89, 353, 460

∴ So the LCM of the given numbers is 2 x 89 x 353 x 460 = 28903640

Least Common Multiple of 89,706,920 with GCF Formula

Least Common Multiple of 89,706,920 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 89,706,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,706,920) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,706,920) x common factors =1 x 2 = 2

LCM(89,706,920) = ( 89 × 706 × 920 ) / 2

LCM(89,706,920) = 57807280 / 2

LCM(89,706,920) = 28903640


Lets's calculate GCF of 60,11,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28903640/1

Therefore the LCM of Fractions 89/60,706/11,920/891 is 28903640

Greatest Common Factor of 60,11,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,11,891 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 60,11,891 . The biggest common factor number is the GCF number.
So the greatest common factor 60,11,891 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 89/60, 706/11, 920/891

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 89/60, 706/11, 920/891?

Answer: LCM of Numerators as per given numbers 89/60, 706/11, 920/891 is

LCM of Numerators i.e. for 89,706,920 is 28903640

GCF of denominators i.e. for 60,11,891 is 1.

Thus, LCM of Fractions is 28903640.Finally, LCM of Fractions for 89/60, 706/11, 920/891 is 28903640.