Least Common Multiple of 211/72, 888/47, 724/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 211/72, 888/47, 724/640 quickly i.e. 33913608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 211/72, 888/47, 724/640 is 33913608.

LCM(211/72, 888/47, 724/640) = 33913608

LCM of 211/72, 888/47, 724/640

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 211/72,888/47,724/640

Given numbers are 211/72,888/47,724/640

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 211,888,724

Least Common Multiple of Numerators i.e. LCM of 211,888,724 is 33913608.

GCF of Denominators means GCF of 72,47,640 as per the given fractions.

GCF of 72,47,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 211,888,724

LCM of Fractions 211/72,888/47,724/640 is 33913608

2 211, 888, 724
2 211, 444, 362
211, 222, 181

∴ So the LCM of the given numbers is 2 x 2 x 211 x 222 x 181 = 33913608

Least Common Multiple of 211,888,724 with GCF Formula

Least Common Multiple of 211,888,724 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 211,888,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,888,724) = 1

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

GCF(211,888,724) x common factors =1 x 4 = 4

LCM(211,888,724) = ( 211 × 888 × 724 ) / 4

LCM(211,888,724) = 135654432 / 4

LCM(211,888,724) = 33913608


Lets's calculate GCF of 72,47,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33913608/1

Therefore the LCM of Fractions 211/72,888/47,724/640 is 33913608

Greatest Common Factor of 72,47,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,47,640 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 72,47,640 . The biggest common factor number is the GCF number.
So the greatest common factor 72,47,640 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 211/72, 888/47, 724/640

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 211/72, 888/47, 724/640?

Answer: LCM of Numerators as per given numbers 211/72, 888/47, 724/640 is

LCM of Numerators i.e. for 211,888,724 is 33913608

GCF of denominators i.e. for 72,47,640 is 1.

Thus, LCM of Fractions is 33913608.Finally, LCM of Fractions for 211/72, 888/47, 724/640 is 33913608.