Least Common Multiple of 6004/876, 6035/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6004/876, 6035/478 quickly i.e. 18117070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6004/876, 6035/478 is 18117070.

LCM(6004/876, 6035/478) = 18117070

LCM of 6004/876, 6035/478

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 6004/876,6035/478

Given numbers are 6004/876,6035/478

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 6004,6035

Least Common Multiple of Numerators i.e. LCM of 6004,6035 is 36234140.

GCF of Denominators means GCF of 876,478 as per the given fractions.

GCF of 876,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6004,6035

LCM of Fractions 6004/876,6035/478 is 18117070

Given numbers has no common factors except 1. So, there LCM is their product i.e 36234140

Least Common Multiple of 6004,6035 with GCF Formula

Least Common Multiple of 6004,6035 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 6004,6035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6004,6035) = 1

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

GCF(6004,6035) x common factors =1 x 1 = 1

LCM(6004,6035) = ( 6004 × 6035 ) / 1

LCM(6004,6035) = 36234140 / 1

LCM(6004,6035) = 36234140


Lets's calculate GCF of 876,478

2 876, 478
438, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36234140/2

Therefore the LCM of Fractions 6004/876,6035/478 is 18117070

Greatest Common Factor of 876,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,478 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 876,478 . The biggest common factor number is the GCF number.
So the greatest common factor 876,478 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6004/876, 6035/478

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 6004/876, 6035/478?

Answer: LCM of Numerators as per given numbers 6004/876, 6035/478 is

LCM of Numerators i.e. for 6004,6035 is 36234140

GCF of denominators i.e. for 876,478 is 2.

Thus, LCM of Fractions is 18117070.Finally, LCM of Fractions for 6004/876, 6035/478 is 18117070.