Least Common Multiple of 426/63, 189/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/63, 189/109 quickly i.e. 26838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/63, 189/109 is 26838.

LCM(426/63, 189/109) = 26838

LCM of 426/63, 189/109

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 426/63,189/109

Given numbers are 426/63,189/109

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 426,189

Least Common Multiple of Numerators i.e. LCM of 426,189 is 26838.

GCF of Denominators means GCF of 63,109 as per the given fractions.

GCF of 63,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,189

LCM of Fractions 426/63,189/109 is 26838

3 426, 189
142, 63

∴ So the LCM of the given numbers is 3 x 142 x 63 = 26838

Least Common Multiple of 426,189 with GCF Formula

Least Common Multiple of 426,189 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 426,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,189) = 3

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

GCF(426,189) x common factors =3 x 1 = 3

LCM(426,189) = ( 426 × 189 ) / 3

LCM(426,189) = 80514 / 3

LCM(426,189) = 26838


Lets's calculate GCF of 63,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26838/1

Therefore the LCM of Fractions 426/63,189/109 is 26838

Greatest Common Factor of 63,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,109 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 63,109 . The biggest common factor number is the GCF number.
So the greatest common factor 63,109 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 426/63, 189/109

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 426/63, 189/109?

Answer: LCM of Numerators as per given numbers 426/63, 189/109 is

LCM of Numerators i.e. for 426,189 is 26838

GCF of denominators i.e. for 63,109 is 1.

Thus, LCM of Fractions is 26838.Finally, LCM of Fractions for 426/63, 189/109 is 26838.