Least Common Multiple of 381/38, 730/9091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/38, 730/9091 quickly i.e. 278130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/38, 730/9091 is 278130.

LCM(381/38, 730/9091) = 278130

LCM of 381/38, 730/9091

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 381/38,730/9091

Given numbers are 381/38,730/9091

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 381,730

Least Common Multiple of Numerators i.e. LCM of 381,730 is 278130.

GCF of Denominators means GCF of 38,9091 as per the given fractions.

GCF of 38,9091 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,730

LCM of Fractions 381/38,730/9091 is 278130

Given numbers has no common factors except 1. So, there LCM is their product i.e 278130

Least Common Multiple of 381,730 with GCF Formula

Least Common Multiple of 381,730 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 381,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,730) = 1

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

GCF(381,730) x common factors =1 x 1 = 1

LCM(381,730) = ( 381 × 730 ) / 1

LCM(381,730) = 278130 / 1

LCM(381,730) = 278130


Lets's calculate GCF of 38,9091

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278130/1

Therefore the LCM of Fractions 381/38,730/9091 is 278130

Greatest Common Factor of 38,9091 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,9091 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 9091

List of positive integer factors of 9091 that divides 9091 without a remainder.

1,9091

Greatest Common Factor

We found the factors 38,9091 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9091 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 381/38, 730/9091

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 381/38, 730/9091?

Answer: LCM of Numerators as per given numbers 381/38, 730/9091 is

LCM of Numerators i.e. for 381,730 is 278130

GCF of denominators i.e. for 38,9091 is 1.

Thus, LCM of Fractions is 278130.Finally, LCM of Fractions for 381/38, 730/9091 is 278130.