Least Common Multiple of 6629/638, 8274/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6629/638, 8274/507 quickly i.e. 7835478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6629/638, 8274/507 is 7835478.

LCM(6629/638, 8274/507) = 7835478

LCM of 6629/638, 8274/507

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 6629/638,8274/507

Given numbers are 6629/638,8274/507

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 6629,8274

Least Common Multiple of Numerators i.e. LCM of 6629,8274 is 7835478.

GCF of Denominators means GCF of 638,507 as per the given fractions.

GCF of 638,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6629,8274

LCM of Fractions 6629/638,8274/507 is 7835478

7 6629, 8274
947, 1182

∴ So the LCM of the given numbers is 7 x 947 x 1182 = 7835478

Least Common Multiple of 6629,8274 with GCF Formula

Least Common Multiple of 6629,8274 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 6629,8274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6629,8274) = 7

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

GCF(6629,8274) x common factors =7 x 1 = 7

LCM(6629,8274) = ( 6629 × 8274 ) / 7

LCM(6629,8274) = 54848346 / 7

LCM(6629,8274) = 7835478


Lets's calculate GCF of 638,507

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7835478/1

Therefore the LCM of Fractions 6629/638,8274/507 is 7835478

Greatest Common Factor of 638,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,507 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 638,507 . The biggest common factor number is the GCF number.
So the greatest common factor 638,507 is 1.


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 6629/638, 8274/507

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 6629/638, 8274/507?

Answer: LCM of Numerators as per given numbers 6629/638, 8274/507 is

LCM of Numerators i.e. for 6629,8274 is 7835478

GCF of denominators i.e. for 638,507 is 1.

Thus, LCM of Fractions is 7835478.Finally, LCM of Fractions for 6629/638, 8274/507 is 7835478.