Least Common Multiple of 4032/329, 4004/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4032/329, 4004/119 quickly i.e. 82368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4032/329, 4004/119 is 82368.

LCM(4032/329, 4004/119) = 82368

LCM of 4032/329, 4004/119

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 4032/329,4004/119

Given numbers are 4032/329,4004/119

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 4032,4004

Least Common Multiple of Numerators i.e. LCM of 4032,4004 is 576576.

GCF of Denominators means GCF of 329,119 as per the given fractions.

GCF of 329,119 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4032,4004

LCM of Fractions 4032/329,4004/119 is 82368

2 4032, 4004
2 2016, 2002
7 1008, 1001
144, 143

∴ So the LCM of the given numbers is 2 x 2 x 7 x 144 x 143 = 576576

Least Common Multiple of 4032,4004 with GCF Formula

Least Common Multiple of 4032,4004 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 4032,4004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4032,4004) = 28

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

GCF(4032,4004) x common factors =28 x 1 = 28

LCM(4032,4004) = ( 4032 × 4004 ) / 28

LCM(4032,4004) = 16144128 / 28

LCM(4032,4004) = 576576


Lets's calculate GCF of 329,119

7 329, 119
47, 17

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576576/7

Therefore the LCM of Fractions 4032/329,4004/119 is 82368

Greatest Common Factor of 329,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,119 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 329,119 . The biggest common factor number is the GCF number.
So the greatest common factor 329,119 is 7.


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 4032/329, 4004/119

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 4032/329, 4004/119?

Answer: LCM of Numerators as per given numbers 4032/329, 4004/119 is

LCM of Numerators i.e. for 4032,4004 is 576576

GCF of denominators i.e. for 329,119 is 7.

Thus, LCM of Fractions is 82368.Finally, LCM of Fractions for 4032/329, 4004/119 is 82368.