Least Common Multiple of 572/441, 4346/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/441, 4346/920 quickly i.e. 1242956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/441, 4346/920 is 1242956.

LCM(572/441, 4346/920) = 1242956

LCM of 572/441, 4346/920

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 572/441,4346/920

Given numbers are 572/441,4346/920

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 572,4346

Least Common Multiple of Numerators i.e. LCM of 572,4346 is 1242956.

GCF of Denominators means GCF of 441,920 as per the given fractions.

GCF of 441,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,4346

LCM of Fractions 572/441,4346/920 is 1242956

2 572, 4346
286, 2173

∴ So the LCM of the given numbers is 2 x 286 x 2173 = 1242956

Least Common Multiple of 572,4346 with GCF Formula

Least Common Multiple of 572,4346 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 572,4346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,4346) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(572,4346) x common factors =2 x 1 = 2

LCM(572,4346) = ( 572 × 4346 ) / 2

LCM(572,4346) = 2485912 / 2

LCM(572,4346) = 1242956


Lets's calculate GCF of 441,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242956/1

Therefore the LCM of Fractions 572/441,4346/920 is 1242956

Greatest Common Factor of 441,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,920 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 441,920 . The biggest common factor number is the GCF number.
So the greatest common factor 441,920 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 572/441, 4346/920

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 572/441, 4346/920?

Answer: LCM of Numerators as per given numbers 572/441, 4346/920 is

LCM of Numerators i.e. for 572,4346 is 1242956

GCF of denominators i.e. for 441,920 is 1.

Thus, LCM of Fractions is 1242956.Finally, LCM of Fractions for 572/441, 4346/920 is 1242956.