Least Common Multiple of 48/80, 54/380, 884/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/80, 54/380, 884/780 quickly i.e. 95472/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/80, 54/380, 884/780 is 95472/20.

LCM(48/80, 54/380, 884/780) = 95472/20

LCM of 48/80, 54/380, 884/780

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 48/80,54/380,884/780

Given numbers are 48/80,54/380,884/780

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 48,54,884

Least Common Multiple of Numerators i.e. LCM of 48,54,884 is 95472.

GCF of Denominators means GCF of 80,380,780 as per the given fractions.

GCF of 80,380,780 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,54,884

LCM of Fractions 48/80,54/380,884/780 is 95472/20

2 48, 54, 884
2 24, 27, 442
3 12, 27, 221
4, 9, 221

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 9 x 221 = 95472

Least Common Multiple of 48,54,884 with GCF Formula

Least Common Multiple of 48,54,884 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 48,54,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,54,884) = 2

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

GCF(48,54,884) x common factors =2 x 12 = 24

LCM(48,54,884) = ( 48 × 54 × 884 ) / 24

LCM(48,54,884) = 2291328 / 24

LCM(48,54,884) = 95472


Lets's calculate GCF of 80,380,780

2 80, 380, 780
2 40, 190, 390
5 20, 95, 195
4, 19, 39

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95472/20

Therefore the LCM of Fractions 48/80,54/380,884/780 is 95472/20

Greatest Common Factor of 80,380,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,380,780 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 80,380,780 . The biggest common factor number is the GCF number.
So the greatest common factor 80,380,780 is 20.


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 48/80, 54/380, 884/780

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 48/80, 54/380, 884/780?

Answer: LCM of Numerators as per given numbers 48/80, 54/380, 884/780 is

LCM of Numerators i.e. for 48,54,884 is 95472

GCF of denominators i.e. for 80,380,780 is 20.

Thus, LCM of Fractions is 95472/20.Finally, LCM of Fractions for 48/80, 54/380, 884/780 is 95472/20.