Least Common Multiple of 19/79, 21/43, 230/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/79, 21/43, 230/642 quickly i.e. 91770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/79, 21/43, 230/642 is 91770.

LCM(19/79, 21/43, 230/642) = 91770

LCM of 19/79, 21/43, 230/642

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 19/79,21/43,230/642

Given numbers are 19/79,21/43,230/642

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 19,21,230

Least Common Multiple of Numerators i.e. LCM of 19,21,230 is 91770.

GCF of Denominators means GCF of 79,43,642 as per the given fractions.

GCF of 79,43,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,21,230

LCM of Fractions 19/79,21/43,230/642 is 91770

Given numbers has no common factors except 1. So, there LCM is their product i.e 91770

Least Common Multiple of 19,21,230 with GCF Formula

Least Common Multiple of 19,21,230 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 19,21,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,21,230) = 1

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

GCF(19,21,230) x common factors =1 x 1 = 1

LCM(19,21,230) = ( 19 × 21 × 230 ) / 1

LCM(19,21,230) = 91770 / 1

LCM(19,21,230) = 91770


Lets's calculate GCF of 79,43,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91770/1

Therefore the LCM of Fractions 19/79,21/43,230/642 is 91770

Greatest Common Factor of 79,43,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,43,642 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 79,43,642 . The biggest common factor number is the GCF number.
So the greatest common factor 79,43,642 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 19/79, 21/43, 230/642

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 19/79, 21/43, 230/642?

Answer: LCM of Numerators as per given numbers 19/79, 21/43, 230/642 is

LCM of Numerators i.e. for 19,21,230 is 91770

GCF of denominators i.e. for 79,43,642 is 1.

Thus, LCM of Fractions is 91770.Finally, LCM of Fractions for 19/79, 21/43, 230/642 is 91770.