Least Common Multiple of 97/180, 69/861, 500/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/180, 69/861, 500/767 quickly i.e. 3346500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/180, 69/861, 500/767 is 3346500.

LCM(97/180, 69/861, 500/767) = 3346500

LCM of 97/180, 69/861, 500/767

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 97/180,69/861,500/767

Given numbers are 97/180,69/861,500/767

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 97,69,500

Least Common Multiple of Numerators i.e. LCM of 97,69,500 is 3346500.

GCF of Denominators means GCF of 180,861,767 as per the given fractions.

GCF of 180,861,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,69,500

LCM of Fractions 97/180,69/861,500/767 is 3346500

Given numbers has no common factors except 1. So, there LCM is their product i.e 3346500

Least Common Multiple of 97,69,500 with GCF Formula

Least Common Multiple of 97,69,500 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 97,69,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,69,500) = 1

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

GCF(97,69,500) x common factors =1 x 1 = 1

LCM(97,69,500) = ( 97 × 69 × 500 ) / 1

LCM(97,69,500) = 3346500 / 1

LCM(97,69,500) = 3346500


Lets's calculate GCF of 180,861,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3346500/1

Therefore the LCM of Fractions 97/180,69/861,500/767 is 3346500

Greatest Common Factor of 180,861,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,861,767 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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 180,861,767 . The biggest common factor number is the GCF number.
So the greatest common factor 180,861,767 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 97/180, 69/861, 500/767

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 97/180, 69/861, 500/767?

Answer: LCM of Numerators as per given numbers 97/180, 69/861, 500/767 is

LCM of Numerators i.e. for 97,69,500 is 3346500

GCF of denominators i.e. for 180,861,767 is 1.

Thus, LCM of Fractions is 3346500.Finally, LCM of Fractions for 97/180, 69/861, 500/767 is 3346500.