Least Common Multiple of 103/38, 618/2517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 103/38, 618/2517 quickly i.e. 618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/38, 618/2517 is 618.

LCM(103/38, 618/2517) = 618

LCM of 103/38, 618/2517

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 103/38,618/2517

Given numbers are 103/38,618/2517

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 103,618

Least Common Multiple of Numerators i.e. LCM of 103,618 is 618.

GCF of Denominators means GCF of 38,2517 as per the given fractions.

GCF of 38,2517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,618

LCM of Fractions 103/38,618/2517 is 618

103 103, 618
1, 6

∴ So the LCM of the given numbers is 103 x 1 x 6 = 618

Least Common Multiple of 103,618 with GCF Formula

Least Common Multiple of 103,618 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 103,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,618) = 103

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

GCF(103,618) x common factors =103 x 1 = 103

LCM(103,618) = ( 103 × 618 ) / 103

LCM(103,618) = 63654 / 103

LCM(103,618) = 618


Lets's calculate GCF of 38,2517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 618/1

Therefore the LCM of Fractions 103/38,618/2517 is 618

Greatest Common Factor of 38,2517 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2517 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 2517

List of positive integer factors of 2517 that divides 2517 without a remainder.

1,3,839,2517

Greatest Common Factor

We found the factors 38,2517 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2517 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 103/38, 618/2517

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 103/38, 618/2517?

Answer: LCM of Numerators as per given numbers 103/38, 618/2517 is

LCM of Numerators i.e. for 103,618 is 618

GCF of denominators i.e. for 38,2517 is 1.

Thus, LCM of Fractions is 618.Finally, LCM of Fractions for 103/38, 618/2517 is 618.