Least Common Multiple of 6024/634, 9704/6636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6024/634, 9704/6636 quickly i.e. 3653556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6024/634, 9704/6636 is 3653556.

LCM(6024/634, 9704/6636) = 3653556

LCM of 6024/634, 9704/6636

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 6024/634,9704/6636

Given numbers are 6024/634,9704/6636

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 6024,9704

Least Common Multiple of Numerators i.e. LCM of 6024,9704 is 7307112.

GCF of Denominators means GCF of 634,6636 as per the given fractions.

GCF of 634,6636 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6024,9704

LCM of Fractions 6024/634,9704/6636 is 3653556

2 6024, 9704
2 3012, 4852
2 1506, 2426
753, 1213

∴ So the LCM of the given numbers is 2 x 2 x 2 x 753 x 1213 = 7307112

Least Common Multiple of 6024,9704 with GCF Formula

Least Common Multiple of 6024,9704 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 6024,9704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6024,9704) = 8

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

GCF(6024,9704) x common factors =8 x 1 = 8

LCM(6024,9704) = ( 6024 × 9704 ) / 8

LCM(6024,9704) = 58456896 / 8

LCM(6024,9704) = 7307112


Lets's calculate GCF of 634,6636

2 634, 6636
317, 3318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7307112/2

Therefore the LCM of Fractions 6024/634,9704/6636 is 3653556

Greatest Common Factor of 634,6636 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,6636 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636

Greatest Common Factor

We found the factors 634,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 634,6636 is 2.


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 6024/634, 9704/6636

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 6024/634, 9704/6636?

Answer: LCM of Numerators as per given numbers 6024/634, 9704/6636 is

LCM of Numerators i.e. for 6024,9704 is 7307112

GCF of denominators i.e. for 634,6636 is 2.

Thus, LCM of Fractions is 3653556.Finally, LCM of Fractions for 6024/634, 9704/6636 is 3653556.