Least Common Multiple of 421/66, 234/12, 159/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/66, 234/12, 159/844 quickly i.e. 2610621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/66, 234/12, 159/844 is 2610621.

LCM(421/66, 234/12, 159/844) = 2610621

LCM of 421/66, 234/12, 159/844

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 421/66,234/12,159/844

Given numbers are 421/66,234/12,159/844

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 421,234,159

Least Common Multiple of Numerators i.e. LCM of 421,234,159 is 5221242.

GCF of Denominators means GCF of 66,12,844 as per the given fractions.

GCF of 66,12,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,234,159

LCM of Fractions 421/66,234/12,159/844 is 2610621

3 421, 234, 159
421, 78, 53

∴ So the LCM of the given numbers is 3 x 421 x 78 x 53 = 5221242

Least Common Multiple of 421,234,159 with GCF Formula

Least Common Multiple of 421,234,159 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 421,234,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,234,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(421,234,159) x common factors =1 x 3 = 3

LCM(421,234,159) = ( 421 × 234 × 159 ) / 3

LCM(421,234,159) = 15663726 / 3

LCM(421,234,159) = 5221242


Lets's calculate GCF of 66,12,844

2 66, 12, 844
33, 6, 422

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5221242/2

Therefore the LCM of Fractions 421/66,234/12,159/844 is 2610621

Greatest Common Factor of 66,12,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,12,844 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 66,12,844 . The biggest common factor number is the GCF number.
So the greatest common factor 66,12,844 is 2.


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 421/66, 234/12, 159/844

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 421/66, 234/12, 159/844?

Answer: LCM of Numerators as per given numbers 421/66, 234/12, 159/844 is

LCM of Numerators i.e. for 421,234,159 is 5221242

GCF of denominators i.e. for 66,12,844 is 2.

Thus, LCM of Fractions is 2610621.Finally, LCM of Fractions for 421/66, 234/12, 159/844 is 2610621.