Least Common Multiple of 725/38, 284/6022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/38, 284/6022 quickly i.e. 102950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/38, 284/6022 is 102950.

LCM(725/38, 284/6022) = 102950

LCM of 725/38, 284/6022

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 725/38,284/6022

Given numbers are 725/38,284/6022

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 725,284

Least Common Multiple of Numerators i.e. LCM of 725,284 is 205900.

GCF of Denominators means GCF of 38,6022 as per the given fractions.

GCF of 38,6022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,284

LCM of Fractions 725/38,284/6022 is 102950

Given numbers has no common factors except 1. So, there LCM is their product i.e 205900

Least Common Multiple of 725,284 with GCF Formula

Least Common Multiple of 725,284 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 725,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,284) = 1

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

GCF(725,284) x common factors =1 x 1 = 1

LCM(725,284) = ( 725 × 284 ) / 1

LCM(725,284) = 205900 / 1

LCM(725,284) = 205900


Lets's calculate GCF of 38,6022

2 38, 6022
19, 3011

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205900/2

Therefore the LCM of Fractions 725/38,284/6022 is 102950

Greatest Common Factor of 38,6022 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,6022 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 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1,2,3011,6022

Greatest Common Factor

We found the factors 38,6022 . The biggest common factor number is the GCF number.
So the greatest common factor 38,6022 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 725/38, 284/6022

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 725/38, 284/6022?

Answer: LCM of Numerators as per given numbers 725/38, 284/6022 is

LCM of Numerators i.e. for 725,284 is 205900

GCF of denominators i.e. for 38,6022 is 2.

Thus, LCM of Fractions is 102950.Finally, LCM of Fractions for 725/38, 284/6022 is 102950.