Least Common Multiple of 123/720, 1060/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/720, 1060/891 quickly i.e. 130380/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/720, 1060/891 is 130380/9.

LCM(123/720, 1060/891) = 130380/9

LCM of 123/720, 1060/891

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 123/720,1060/891

Given numbers are 123/720,1060/891

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 123,1060

Least Common Multiple of Numerators i.e. LCM of 123,1060 is 130380.

GCF of Denominators means GCF of 720,891 as per the given fractions.

GCF of 720,891 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,1060

LCM of Fractions 123/720,1060/891 is 130380/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 130380

Least Common Multiple of 123,1060 with GCF Formula

Least Common Multiple of 123,1060 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 123,1060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,1060) = 1

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

GCF(123,1060) x common factors =1 x 1 = 1

LCM(123,1060) = ( 123 × 1060 ) / 1

LCM(123,1060) = 130380 / 1

LCM(123,1060) = 130380


Lets's calculate GCF of 720,891

3 720, 891
3 240, 297
80, 99

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130380/9

Therefore the LCM of Fractions 123/720,1060/891 is 130380/9

Greatest Common Factor of 720,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,891 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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 720,891 . The biggest common factor number is the GCF number.
So the greatest common factor 720,891 is 9.


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 123/720, 1060/891

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 123/720, 1060/891?

Answer: LCM of Numerators as per given numbers 123/720, 1060/891 is

LCM of Numerators i.e. for 123,1060 is 130380

GCF of denominators i.e. for 720,891 is 9.

Thus, LCM of Fractions is 130380/9.Finally, LCM of Fractions for 123/720, 1060/891 is 130380/9.