Least Common Multiple of 72/360, 189/669, 999/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/360, 189/669, 999/377 quickly i.e. 55944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/360, 189/669, 999/377 is 55944.

LCM(72/360, 189/669, 999/377) = 55944

LCM of 72/360, 189/669, 999/377

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 72/360,189/669,999/377

Given numbers are 72/360,189/669,999/377

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 72,189,999

Least Common Multiple of Numerators i.e. LCM of 72,189,999 is 55944.

GCF of Denominators means GCF of 360,669,377 as per the given fractions.

GCF of 360,669,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,189,999

LCM of Fractions 72/360,189/669,999/377 is 55944

3 72, 189, 999
3 24, 63, 333
3 8, 21, 111
8, 7, 37

∴ So the LCM of the given numbers is 3 x 3 x 3 x 8 x 7 x 37 = 55944

Least Common Multiple of 72,189,999 with GCF Formula

Least Common Multiple of 72,189,999 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 72,189,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,189,999) = 9

common factors(in case of two or more numbers have common factors) = 27

GCF(72,189,999) x common factors =9 x 27 = 243

LCM(72,189,999) = ( 72 × 189 × 999 ) / 243

LCM(72,189,999) = 13594392 / 243

LCM(72,189,999) = 55944


Lets's calculate GCF of 360,669,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55944/1

Therefore the LCM of Fractions 72/360,189/669,999/377 is 55944

Greatest Common Factor of 360,669,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,669,377 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 360,669,377 . The biggest common factor number is the GCF number.
So the greatest common factor 360,669,377 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 72/360, 189/669, 999/377

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 72/360, 189/669, 999/377?

Answer: LCM of Numerators as per given numbers 72/360, 189/669, 999/377 is

LCM of Numerators i.e. for 72,189,999 is 55944

GCF of denominators i.e. for 360,669,377 is 1.

Thus, LCM of Fractions is 55944.Finally, LCM of Fractions for 72/360, 189/669, 999/377 is 55944.