Least Common Multiple of 300/236, 3790/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/236, 3790/507 quickly i.e. 113700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/236, 3790/507 is 113700.

LCM(300/236, 3790/507) = 113700

LCM of 300/236, 3790/507

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 300/236,3790/507

Given numbers are 300/236,3790/507

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 300,3790

Least Common Multiple of Numerators i.e. LCM of 300,3790 is 113700.

GCF of Denominators means GCF of 236,507 as per the given fractions.

GCF of 236,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,3790

LCM of Fractions 300/236,3790/507 is 113700

2 300, 3790
5 150, 1895
30, 379

∴ So the LCM of the given numbers is 2 x 5 x 30 x 379 = 113700

Least Common Multiple of 300,3790 with GCF Formula

Least Common Multiple of 300,3790 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 300,3790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,3790) = 10

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

GCF(300,3790) x common factors =10 x 1 = 10

LCM(300,3790) = ( 300 × 3790 ) / 10

LCM(300,3790) = 1137000 / 10

LCM(300,3790) = 113700


Lets's calculate GCF of 236,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113700/1

Therefore the LCM of Fractions 300/236,3790/507 is 113700

Greatest Common Factor of 236,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,507 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

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 236,507 . The biggest common factor number is the GCF number.
So the greatest common factor 236,507 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 300/236, 3790/507

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 300/236, 3790/507?

Answer: LCM of Numerators as per given numbers 300/236, 3790/507 is

LCM of Numerators i.e. for 300,3790 is 113700

GCF of denominators i.e. for 236,507 is 1.

Thus, LCM of Fractions is 113700.Finally, LCM of Fractions for 300/236, 3790/507 is 113700.