Least Common Multiple of 8200/38, 8742/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8200/38, 8742/507 quickly i.e. 35842200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8200/38, 8742/507 is 35842200.

LCM(8200/38, 8742/507) = 35842200

LCM of 8200/38, 8742/507

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 8200/38,8742/507

Given numbers are 8200/38,8742/507

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 8200,8742

Least Common Multiple of Numerators i.e. LCM of 8200,8742 is 35842200.

GCF of Denominators means GCF of 38,507 as per the given fractions.

GCF of 38,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8200,8742

LCM of Fractions 8200/38,8742/507 is 35842200

2 8200, 8742
4100, 4371

∴ So the LCM of the given numbers is 2 x 4100 x 4371 = 35842200

Least Common Multiple of 8200,8742 with GCF Formula

Least Common Multiple of 8200,8742 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 8200,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8200,8742) = 2

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

GCF(8200,8742) x common factors =2 x 1 = 2

LCM(8200,8742) = ( 8200 × 8742 ) / 2

LCM(8200,8742) = 71684400 / 2

LCM(8200,8742) = 35842200


Lets's calculate GCF of 38,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35842200/1

Therefore the LCM of Fractions 8200/38,8742/507 is 35842200

Greatest Common Factor of 38,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,507 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 38,507 . The biggest common factor number is the GCF number.
So the greatest common factor 38,507 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 8200/38, 8742/507

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 8200/38, 8742/507?

Answer: LCM of Numerators as per given numbers 8200/38, 8742/507 is

LCM of Numerators i.e. for 8200,8742 is 35842200

GCF of denominators i.e. for 38,507 is 1.

Thus, LCM of Fractions is 35842200.Finally, LCM of Fractions for 8200/38, 8742/507 is 35842200.