Least Common Multiple of 529/444, 468/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/444, 468/582 quickly i.e. 41262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/444, 468/582 is 41262.

LCM(529/444, 468/582) = 41262

LCM of 529/444, 468/582

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 529/444,468/582

Given numbers are 529/444,468/582

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 529,468

Least Common Multiple of Numerators i.e. LCM of 529,468 is 247572.

GCF of Denominators means GCF of 444,582 as per the given fractions.

GCF of 444,582 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,468

LCM of Fractions 529/444,468/582 is 41262

Given numbers has no common factors except 1. So, there LCM is their product i.e 247572

Least Common Multiple of 529,468 with GCF Formula

Least Common Multiple of 529,468 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 529,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,468) = 1

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

GCF(529,468) x common factors =1 x 1 = 1

LCM(529,468) = ( 529 × 468 ) / 1

LCM(529,468) = 247572 / 1

LCM(529,468) = 247572


Lets's calculate GCF of 444,582

2 444, 582
3 222, 291
74, 97

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247572/6

Therefore the LCM of Fractions 529/444,468/582 is 41262

Greatest Common Factor of 444,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,582 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 444,582 . The biggest common factor number is the GCF number.
So the greatest common factor 444,582 is 6.


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 529/444, 468/582

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 529/444, 468/582?

Answer: LCM of Numerators as per given numbers 529/444, 468/582 is

LCM of Numerators i.e. for 529,468 is 247572

GCF of denominators i.e. for 444,582 is 6.

Thus, LCM of Fractions is 41262.Finally, LCM of Fractions for 529/444, 468/582 is 41262.