Least Common Multiple of 500/38, 609/2252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/38, 609/2252 quickly i.e. 152250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/38, 609/2252 is 152250.

LCM(500/38, 609/2252) = 152250

LCM of 500/38, 609/2252

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 500/38,609/2252

Given numbers are 500/38,609/2252

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 500,609

Least Common Multiple of Numerators i.e. LCM of 500,609 is 304500.

GCF of Denominators means GCF of 38,2252 as per the given fractions.

GCF of 38,2252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,609

LCM of Fractions 500/38,609/2252 is 152250

Given numbers has no common factors except 1. So, there LCM is their product i.e 304500

Least Common Multiple of 500,609 with GCF Formula

Least Common Multiple of 500,609 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 500,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,609) = 1

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

GCF(500,609) x common factors =1 x 1 = 1

LCM(500,609) = ( 500 × 609 ) / 1

LCM(500,609) = 304500 / 1

LCM(500,609) = 304500


Lets's calculate GCF of 38,2252

2 38, 2252
19, 1126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304500/2

Therefore the LCM of Fractions 500/38,609/2252 is 152250

Greatest Common Factor of 38,2252 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2252 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 2252

List of positive integer factors of 2252 that divides 2252 without a remainder.

1,2,4,563,1126,2252

Greatest Common Factor

We found the factors 38,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2252 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 500/38, 609/2252

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 500/38, 609/2252?

Answer: LCM of Numerators as per given numbers 500/38, 609/2252 is

LCM of Numerators i.e. for 500,609 is 304500

GCF of denominators i.e. for 38,2252 is 2.

Thus, LCM of Fractions is 152250.Finally, LCM of Fractions for 500/38, 609/2252 is 152250.