Least Common Multiple of 441/120, 323/262, 735/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/120, 323/262, 735/872 quickly i.e. 712215/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/120, 323/262, 735/872 is 712215/2.

LCM(441/120, 323/262, 735/872) = 712215/2

LCM of 441/120, 323/262, 735/872

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 441/120,323/262,735/872

Given numbers are 441/120,323/262,735/872

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 441,323,735

Least Common Multiple of Numerators i.e. LCM of 441,323,735 is 712215.

GCF of Denominators means GCF of 120,262,872 as per the given fractions.

GCF of 120,262,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,323,735

LCM of Fractions 441/120,323/262,735/872 is 712215/2

3 441, 323, 735
7 147, 323, 245
7 21, 323, 35
3, 323, 5

∴ So the LCM of the given numbers is 3 x 7 x 7 x 3 x 323 x 5 = 712215

Least Common Multiple of 441,323,735 with GCF Formula

Least Common Multiple of 441,323,735 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 441,323,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,323,735) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(441,323,735) x common factors =1 x 147 = 147

LCM(441,323,735) = ( 441 × 323 × 735 ) / 147

LCM(441,323,735) = 104695605 / 147

LCM(441,323,735) = 712215


Lets's calculate GCF of 120,262,872

2 120, 262, 872
60, 131, 436

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712215/2

Therefore the LCM of Fractions 441/120,323/262,735/872 is 712215/2

Greatest Common Factor of 120,262,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,262,872 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 120,262,872 . The biggest common factor number is the GCF number.
So the greatest common factor 120,262,872 is 2.


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 441/120, 323/262, 735/872

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 441/120, 323/262, 735/872?

Answer: LCM of Numerators as per given numbers 441/120, 323/262, 735/872 is

LCM of Numerators i.e. for 441,323,735 is 712215

GCF of denominators i.e. for 120,262,872 is 2.

Thus, LCM of Fractions is 712215/2.Finally, LCM of Fractions for 441/120, 323/262, 735/872 is 712215/2.