Least Common Multiple of 8421/596, 8934/9402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8421/596, 8934/9402 quickly i.e. 12538869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8421/596, 8934/9402 is 12538869.

LCM(8421/596, 8934/9402) = 12538869

LCM of 8421/596, 8934/9402

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 8421/596,8934/9402

Given numbers are 8421/596,8934/9402

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 8421,8934

Least Common Multiple of Numerators i.e. LCM of 8421,8934 is 25077738.

GCF of Denominators means GCF of 596,9402 as per the given fractions.

GCF of 596,9402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8421,8934

LCM of Fractions 8421/596,8934/9402 is 12538869

3 8421, 8934
2807, 2978

∴ So the LCM of the given numbers is 3 x 2807 x 2978 = 25077738

Least Common Multiple of 8421,8934 with GCF Formula

Least Common Multiple of 8421,8934 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 8421,8934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8421,8934) = 3

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

GCF(8421,8934) x common factors =3 x 1 = 3

LCM(8421,8934) = ( 8421 × 8934 ) / 3

LCM(8421,8934) = 75233214 / 3

LCM(8421,8934) = 25077738


Lets's calculate GCF of 596,9402

2 596, 9402
298, 4701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25077738/2

Therefore the LCM of Fractions 8421/596,8934/9402 is 12538869

Greatest Common Factor of 596,9402 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,9402 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 9402

List of positive integer factors of 9402 that divides 9402 without a remainder.

1,2,3,6,1567,3134,4701,9402

Greatest Common Factor

We found the factors 596,9402 . The biggest common factor number is the GCF number.
So the greatest common factor 596,9402 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 8421/596, 8934/9402

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 8421/596, 8934/9402?

Answer: LCM of Numerators as per given numbers 8421/596, 8934/9402 is

LCM of Numerators i.e. for 8421,8934 is 25077738

GCF of denominators i.e. for 596,9402 is 2.

Thus, LCM of Fractions is 12538869.Finally, LCM of Fractions for 8421/596, 8934/9402 is 12538869.