Least Common Multiple of 642/219, 1110/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/219, 1110/103 quickly i.e. 118770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/219, 1110/103 is 118770.

LCM(642/219, 1110/103) = 118770

LCM of 642/219, 1110/103

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 642/219,1110/103

Given numbers are 642/219,1110/103

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 642,1110

Least Common Multiple of Numerators i.e. LCM of 642,1110 is 118770.

GCF of Denominators means GCF of 219,103 as per the given fractions.

GCF of 219,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,1110

LCM of Fractions 642/219,1110/103 is 118770

2 642, 1110
3 321, 555
107, 185

∴ So the LCM of the given numbers is 2 x 3 x 107 x 185 = 118770

Least Common Multiple of 642,1110 with GCF Formula

Least Common Multiple of 642,1110 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 642,1110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,1110) = 6

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

GCF(642,1110) x common factors =6 x 1 = 6

LCM(642,1110) = ( 642 × 1110 ) / 6

LCM(642,1110) = 712620 / 6

LCM(642,1110) = 118770


Lets's calculate GCF of 219,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118770/1

Therefore the LCM of Fractions 642/219,1110/103 is 118770

Greatest Common Factor of 219,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,103 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 219,103 . The biggest common factor number is the GCF number.
So the greatest common factor 219,103 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 642/219, 1110/103

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 642/219, 1110/103?

Answer: LCM of Numerators as per given numbers 642/219, 1110/103 is

LCM of Numerators i.e. for 642,1110 is 118770

GCF of denominators i.e. for 219,103 is 1.

Thus, LCM of Fractions is 118770.Finally, LCM of Fractions for 642/219, 1110/103 is 118770.