Least Common Multiple of 60/686, 77/290, 972/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/686, 77/290, 972/204 quickly i.e. 187110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/686, 77/290, 972/204 is 187110.

LCM(60/686, 77/290, 972/204) = 187110

LCM of 60/686, 77/290, 972/204

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 60/686,77/290,972/204

Given numbers are 60/686,77/290,972/204

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 60,77,972

Least Common Multiple of Numerators i.e. LCM of 60,77,972 is 374220.

GCF of Denominators means GCF of 686,290,204 as per the given fractions.

GCF of 686,290,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,77,972

LCM of Fractions 60/686,77/290,972/204 is 187110

2 60, 77, 972
2 30, 77, 486
3 15, 77, 243
5, 77, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 77 x 81 = 374220

Least Common Multiple of 60,77,972 with GCF Formula

Least Common Multiple of 60,77,972 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 60,77,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,77,972) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,77,972) x common factors =1 x 12 = 12

LCM(60,77,972) = ( 60 × 77 × 972 ) / 12

LCM(60,77,972) = 4490640 / 12

LCM(60,77,972) = 374220


Lets's calculate GCF of 686,290,204

2 686, 290, 204
343, 145, 102

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374220/2

Therefore the LCM of Fractions 60/686,77/290,972/204 is 187110

Greatest Common Factor of 686,290,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,290,204 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 686,290,204 . The biggest common factor number is the GCF number.
So the greatest common factor 686,290,204 is 2.


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 60/686, 77/290, 972/204

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 60/686, 77/290, 972/204?

Answer: LCM of Numerators as per given numbers 60/686, 77/290, 972/204 is

LCM of Numerators i.e. for 60,77,972 is 374220

GCF of denominators i.e. for 686,290,204 is 2.

Thus, LCM of Fractions is 187110.Finally, LCM of Fractions for 60/686, 77/290, 972/204 is 187110.