Least Common Multiple of 572/462, 8257/1804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/462, 8257/1804 quickly i.e. 214682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/462, 8257/1804 is 214682.

LCM(572/462, 8257/1804) = 214682

LCM of 572/462, 8257/1804

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 572/462,8257/1804

Given numbers are 572/462,8257/1804

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 572,8257

Least Common Multiple of Numerators i.e. LCM of 572,8257 is 4723004.

GCF of Denominators means GCF of 462,1804 as per the given fractions.

GCF of 462,1804 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,8257

LCM of Fractions 572/462,8257/1804 is 214682

Given numbers has no common factors except 1. So, there LCM is their product i.e 4723004

Least Common Multiple of 572,8257 with GCF Formula

Least Common Multiple of 572,8257 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 572,8257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,8257) = 1

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

GCF(572,8257) x common factors =1 x 1 = 1

LCM(572,8257) = ( 572 × 8257 ) / 1

LCM(572,8257) = 4723004 / 1

LCM(572,8257) = 4723004


Lets's calculate GCF of 462,1804

2 462, 1804
11 231, 902
21, 82

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4723004/22

Therefore the LCM of Fractions 572/462,8257/1804 is 214682

Greatest Common Factor of 462,1804 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,1804 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1,2,4,11,22,41,44,82,164,451,902,1804

Greatest Common Factor

We found the factors 462,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 462,1804 is 22.


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 572/462, 8257/1804

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 572/462, 8257/1804?

Answer: LCM of Numerators as per given numbers 572/462, 8257/1804 is

LCM of Numerators i.e. for 572,8257 is 4723004

GCF of denominators i.e. for 462,1804 is 22.

Thus, LCM of Fractions is 214682.Finally, LCM of Fractions for 572/462, 8257/1804 is 214682.