Least Common Multiple of 1/78, 80/240, 21/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/78, 80/240, 21/972 quickly i.e. 280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/78, 80/240, 21/972 is 280.

LCM(1/78, 80/240, 21/972) = 280

LCM of 1/78, 80/240, 21/972

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 1/78,80/240,21/972

Given numbers are 1/78,80/240,21/972

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 1,80,21

Least Common Multiple of Numerators i.e. LCM of 1,80,21 is 1680.

GCF of Denominators means GCF of 78,240,972 as per the given fractions.

GCF of 78,240,972 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,80,21

LCM of Fractions 1/78,80/240,21/972 is 280

Given numbers has no common factors except 1. So, there LCM is their product i.e 1680

Least Common Multiple of 1,80,21 with GCF Formula

Least Common Multiple of 1,80,21 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 1,80,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,80,21) = 1

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

GCF(1,80,21) x common factors =1 x 1 = 1

LCM(1,80,21) = ( 1 × 80 × 21 ) / 1

LCM(1,80,21) = 1680 / 1

LCM(1,80,21) = 1680


Lets's calculate GCF of 78,240,972

2 78, 240, 972
3 39, 120, 486
13, 40, 162

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1680/6

Therefore the LCM of Fractions 1/78,80/240,21/972 is 280

Greatest Common Factor of 78,240,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,240,972 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 78,240,972 . The biggest common factor number is the GCF number.
So the greatest common factor 78,240,972 is 6.


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 1/78, 80/240, 21/972

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 1/78, 80/240, 21/972?

Answer: LCM of Numerators as per given numbers 1/78, 80/240, 21/972 is

LCM of Numerators i.e. for 1,80,21 is 1680

GCF of denominators i.e. for 78,240,972 is 6.

Thus, LCM of Fractions is 280.Finally, LCM of Fractions for 1/78, 80/240, 21/972 is 280.