Least Common Multiple of 38/25, 10/38, 121/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/25, 10/38, 121/605 quickly i.e. 22990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/25, 10/38, 121/605 is 22990.

LCM(38/25, 10/38, 121/605) = 22990

LCM of 38/25, 10/38, 121/605

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 38/25,10/38,121/605

Given numbers are 38/25,10/38,121/605

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 38,10,121

Least Common Multiple of Numerators i.e. LCM of 38,10,121 is 22990.

GCF of Denominators means GCF of 25,38,605 as per the given fractions.

GCF of 25,38,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,10,121

LCM of Fractions 38/25,10/38,121/605 is 22990

2 38, 10, 121
19, 5, 121

∴ So the LCM of the given numbers is 2 x 19 x 5 x 121 = 22990

Least Common Multiple of 38,10,121 with GCF Formula

Least Common Multiple of 38,10,121 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 38,10,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,10,121) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,10,121) x common factors =1 x 2 = 2

LCM(38,10,121) = ( 38 × 10 × 121 ) / 2

LCM(38,10,121) = 45980 / 2

LCM(38,10,121) = 22990


Lets's calculate GCF of 25,38,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22990/1

Therefore the LCM of Fractions 38/25,10/38,121/605 is 22990

Greatest Common Factor of 25,38,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,38,605 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 38

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

1,2,19,38

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 25,38,605 . The biggest common factor number is the GCF number.
So the greatest common factor 25,38,605 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 38/25, 10/38, 121/605

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 38/25, 10/38, 121/605?

Answer: LCM of Numerators as per given numbers 38/25, 10/38, 121/605 is

LCM of Numerators i.e. for 38,10,121 is 22990

GCF of denominators i.e. for 25,38,605 is 1.

Thus, LCM of Fractions is 22990.Finally, LCM of Fractions for 38/25, 10/38, 121/605 is 22990.