Least Common Multiple of 444/575, 982/540, 667/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/575, 982/540, 667/344 quickly i.e. 145408668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/575, 982/540, 667/344 is 145408668.

LCM(444/575, 982/540, 667/344) = 145408668

LCM of 444/575, 982/540, 667/344

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 444/575,982/540,667/344

Given numbers are 444/575,982/540,667/344

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 444,982,667

Least Common Multiple of Numerators i.e. LCM of 444,982,667 is 145408668.

GCF of Denominators means GCF of 575,540,344 as per the given fractions.

GCF of 575,540,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,982,667

LCM of Fractions 444/575,982/540,667/344 is 145408668

2 444, 982, 667
222, 491, 667

∴ So the LCM of the given numbers is 2 x 222 x 491 x 667 = 145408668

Least Common Multiple of 444,982,667 with GCF Formula

Least Common Multiple of 444,982,667 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 444,982,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,982,667) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(444,982,667) x common factors =1 x 2 = 2

LCM(444,982,667) = ( 444 × 982 × 667 ) / 2

LCM(444,982,667) = 290817336 / 2

LCM(444,982,667) = 145408668


Lets's calculate GCF of 575,540,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145408668/1

Therefore the LCM of Fractions 444/575,982/540,667/344 is 145408668

Greatest Common Factor of 575,540,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,540,344 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 575,540,344 . The biggest common factor number is the GCF number.
So the greatest common factor 575,540,344 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 444/575, 982/540, 667/344

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 444/575, 982/540, 667/344?

Answer: LCM of Numerators as per given numbers 444/575, 982/540, 667/344 is

LCM of Numerators i.e. for 444,982,667 is 145408668

GCF of denominators i.e. for 575,540,344 is 1.

Thus, LCM of Fractions is 145408668.Finally, LCM of Fractions for 444/575, 982/540, 667/344 is 145408668.