Least Common Multiple of 124/180, 657/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 124/180, 657/785 quickly i.e. 81468/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/180, 657/785 is 81468/5.

LCM(124/180, 657/785) = 81468/5

LCM of 124/180, 657/785

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 124/180,657/785

Given numbers are 124/180,657/785

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 124,657

Least Common Multiple of Numerators i.e. LCM of 124,657 is 81468.

GCF of Denominators means GCF of 180,785 as per the given fractions.

GCF of 180,785 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,657

LCM of Fractions 124/180,657/785 is 81468/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 81468

Least Common Multiple of 124,657 with GCF Formula

Least Common Multiple of 124,657 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 124,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,657) = 1

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

GCF(124,657) x common factors =1 x 1 = 1

LCM(124,657) = ( 124 × 657 ) / 1

LCM(124,657) = 81468 / 1

LCM(124,657) = 81468


Lets's calculate GCF of 180,785

5 180, 785
36, 157

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81468/5

Therefore the LCM of Fractions 124/180,657/785 is 81468/5

Greatest Common Factor of 180,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,785 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 180,785 . The biggest common factor number is the GCF number.
So the greatest common factor 180,785 is 5.


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 124/180, 657/785

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 124/180, 657/785?

Answer: LCM of Numerators as per given numbers 124/180, 657/785 is

LCM of Numerators i.e. for 124,657 is 81468

GCF of denominators i.e. for 180,785 is 5.

Thus, LCM of Fractions is 81468/5.Finally, LCM of Fractions for 124/180, 657/785 is 81468/5.