Least Common Multiple of 381/19, 113/13, 421/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/19, 113/13, 421/137 quickly i.e. 18125313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/19, 113/13, 421/137 is 18125313.

LCM(381/19, 113/13, 421/137) = 18125313

LCM of 381/19, 113/13, 421/137

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 381/19,113/13,421/137

Given numbers are 381/19,113/13,421/137

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 381,113,421

Least Common Multiple of Numerators i.e. LCM of 381,113,421 is 18125313.

GCF of Denominators means GCF of 19,13,137 as per the given fractions.

GCF of 19,13,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,113,421

LCM of Fractions 381/19,113/13,421/137 is 18125313

Given numbers has no common factors except 1. So, there LCM is their product i.e 18125313

Least Common Multiple of 381,113,421 with GCF Formula

Least Common Multiple of 381,113,421 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 381,113,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,113,421) = 1

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

GCF(381,113,421) x common factors =1 x 1 = 1

LCM(381,113,421) = ( 381 × 113 × 421 ) / 1

LCM(381,113,421) = 18125313 / 1

LCM(381,113,421) = 18125313


Lets's calculate GCF of 19,13,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18125313/1

Therefore the LCM of Fractions 381/19,113/13,421/137 is 18125313

Greatest Common Factor of 19,13,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,13,137 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 19,13,137 . The biggest common factor number is the GCF number.
So the greatest common factor 19,13,137 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 381/19, 113/13, 421/137

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 381/19, 113/13, 421/137?

Answer: LCM of Numerators as per given numbers 381/19, 113/13, 421/137 is

LCM of Numerators i.e. for 381,113,421 is 18125313

GCF of denominators i.e. for 19,13,137 is 1.

Thus, LCM of Fractions is 18125313.Finally, LCM of Fractions for 381/19, 113/13, 421/137 is 18125313.