Least Common Multiple of 339/44, 456/4012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/44, 456/4012 quickly i.e. 12882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/44, 456/4012 is 12882.

LCM(339/44, 456/4012) = 12882

LCM of 339/44, 456/4012

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 339/44,456/4012

Given numbers are 339/44,456/4012

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 339,456

Least Common Multiple of Numerators i.e. LCM of 339,456 is 51528.

GCF of Denominators means GCF of 44,4012 as per the given fractions.

GCF of 44,4012 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,456

LCM of Fractions 339/44,456/4012 is 12882

3 339, 456
113, 152

∴ So the LCM of the given numbers is 3 x 113 x 152 = 51528

Least Common Multiple of 339,456 with GCF Formula

Least Common Multiple of 339,456 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 339,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,456) = 3

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

GCF(339,456) x common factors =3 x 1 = 3

LCM(339,456) = ( 339 × 456 ) / 3

LCM(339,456) = 154584 / 3

LCM(339,456) = 51528


Lets's calculate GCF of 44,4012

2 44, 4012
2 22, 2006
11, 1003

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51528/4

Therefore the LCM of Fractions 339/44,456/4012 is 12882

Greatest Common Factor of 44,4012 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,4012 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1,2,4,17,34,59,68,118,236,1003,2006,4012

Greatest Common Factor

We found the factors 44,4012 . The biggest common factor number is the GCF number.
So the greatest common factor 44,4012 is 4.


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 339/44, 456/4012

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 339/44, 456/4012?

Answer: LCM of Numerators as per given numbers 339/44, 456/4012 is

LCM of Numerators i.e. for 339,456 is 51528

GCF of denominators i.e. for 44,4012 is 4.

Thus, LCM of Fractions is 12882.Finally, LCM of Fractions for 339/44, 456/4012 is 12882.