Least Common Multiple of 103/360, 642/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/360, 642/213 quickly i.e. 22042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/360, 642/213 is 22042.

LCM(103/360, 642/213) = 22042

LCM of 103/360, 642/213

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 103/360,642/213

Given numbers are 103/360,642/213

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 103,642

Least Common Multiple of Numerators i.e. LCM of 103,642 is 66126.

GCF of Denominators means GCF of 360,213 as per the given fractions.

GCF of 360,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,642

LCM of Fractions 103/360,642/213 is 22042

Given numbers has no common factors except 1. So, there LCM is their product i.e 66126

Least Common Multiple of 103,642 with GCF Formula

Least Common Multiple of 103,642 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 103,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,642) = 1

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

GCF(103,642) x common factors =1 x 1 = 1

LCM(103,642) = ( 103 × 642 ) / 1

LCM(103,642) = 66126 / 1

LCM(103,642) = 66126


Lets's calculate GCF of 360,213

3 360, 213
120, 71

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66126/3

Therefore the LCM of Fractions 103/360,642/213 is 22042

Greatest Common Factor of 360,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,213 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 360,213 . The biggest common factor number is the GCF number.
So the greatest common factor 360,213 is 3.


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 103/360, 642/213

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 103/360, 642/213?

Answer: LCM of Numerators as per given numbers 103/360, 642/213 is

LCM of Numerators i.e. for 103,642 is 66126

GCF of denominators i.e. for 360,213 is 3.

Thus, LCM of Fractions is 22042.Finally, LCM of Fractions for 103/360, 642/213 is 22042.