Least Common Multiple of 80/192, 542/456, 988/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/192, 542/456, 988/721 quickly i.e. 5354960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/192, 542/456, 988/721 is 5354960.

LCM(80/192, 542/456, 988/721) = 5354960

LCM of 80/192, 542/456, 988/721

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 80/192,542/456,988/721

Given numbers are 80/192,542/456,988/721

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 80,542,988

Least Common Multiple of Numerators i.e. LCM of 80,542,988 is 5354960.

GCF of Denominators means GCF of 192,456,721 as per the given fractions.

GCF of 192,456,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,542,988

LCM of Fractions 80/192,542/456,988/721 is 5354960

2 80, 542, 988
2 40, 271, 494
20, 271, 247

∴ So the LCM of the given numbers is 2 x 2 x 20 x 271 x 247 = 5354960

Least Common Multiple of 80,542,988 with GCF Formula

Least Common Multiple of 80,542,988 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 80,542,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,542,988) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(80,542,988) x common factors =2 x 4 = 8

LCM(80,542,988) = ( 80 × 542 × 988 ) / 8

LCM(80,542,988) = 42839680 / 8

LCM(80,542,988) = 5354960


Lets's calculate GCF of 192,456,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5354960/1

Therefore the LCM of Fractions 80/192,542/456,988/721 is 5354960

Greatest Common Factor of 192,456,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,456,721 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 192,456,721 . The biggest common factor number is the GCF number.
So the greatest common factor 192,456,721 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 80/192, 542/456, 988/721

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 80/192, 542/456, 988/721?

Answer: LCM of Numerators as per given numbers 80/192, 542/456, 988/721 is

LCM of Numerators i.e. for 80,542,988 is 5354960

GCF of denominators i.e. for 192,456,721 is 1.

Thus, LCM of Fractions is 5354960.Finally, LCM of Fractions for 80/192, 542/456, 988/721 is 5354960.