Least Common Multiple of 72/199, 79/711, 484/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/199, 79/711, 484/144 quickly i.e. 688248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/199, 79/711, 484/144 is 688248.

LCM(72/199, 79/711, 484/144) = 688248

LCM of 72/199, 79/711, 484/144

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 72/199,79/711,484/144

Given numbers are 72/199,79/711,484/144

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 72,79,484

Least Common Multiple of Numerators i.e. LCM of 72,79,484 is 688248.

GCF of Denominators means GCF of 199,711,144 as per the given fractions.

GCF of 199,711,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,79,484

LCM of Fractions 72/199,79/711,484/144 is 688248

2 72, 79, 484
2 36, 79, 242
18, 79, 121

∴ So the LCM of the given numbers is 2 x 2 x 18 x 79 x 121 = 688248

Least Common Multiple of 72,79,484 with GCF Formula

Least Common Multiple of 72,79,484 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 72,79,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,79,484) = 1

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

GCF(72,79,484) x common factors =1 x 4 = 4

LCM(72,79,484) = ( 72 × 79 × 484 ) / 4

LCM(72,79,484) = 2752992 / 4

LCM(72,79,484) = 688248


Lets's calculate GCF of 199,711,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 688248/1

Therefore the LCM of Fractions 72/199,79/711,484/144 is 688248

Greatest Common Factor of 199,711,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,711,144 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 199,711,144 . The biggest common factor number is the GCF number.
So the greatest common factor 199,711,144 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 72/199, 79/711, 484/144

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 72/199, 79/711, 484/144?

Answer: LCM of Numerators as per given numbers 72/199, 79/711, 484/144 is

LCM of Numerators i.e. for 72,79,484 is 688248

GCF of denominators i.e. for 199,711,144 is 1.

Thus, LCM of Fractions is 688248.Finally, LCM of Fractions for 72/199, 79/711, 484/144 is 688248.