Least Common Multiple of 12/843, 298/247, 123/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/843, 298/247, 123/396 quickly i.e. 73308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/843, 298/247, 123/396 is 73308.

LCM(12/843, 298/247, 123/396) = 73308

LCM of 12/843, 298/247, 123/396

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 12/843,298/247,123/396

Given numbers are 12/843,298/247,123/396

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 12,298,123

Least Common Multiple of Numerators i.e. LCM of 12,298,123 is 73308.

GCF of Denominators means GCF of 843,247,396 as per the given fractions.

GCF of 843,247,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,298,123

LCM of Fractions 12/843,298/247,123/396 is 73308

2 12, 298, 123
3 6, 149, 123
2, 149, 41

∴ So the LCM of the given numbers is 2 x 3 x 2 x 149 x 41 = 73308

Least Common Multiple of 12,298,123 with GCF Formula

Least Common Multiple of 12,298,123 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 12,298,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,298,123) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(12,298,123) x common factors =1 x 6 = 6

LCM(12,298,123) = ( 12 × 298 × 123 ) / 6

LCM(12,298,123) = 439848 / 6

LCM(12,298,123) = 73308


Lets's calculate GCF of 843,247,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73308/1

Therefore the LCM of Fractions 12/843,298/247,123/396 is 73308

Greatest Common Factor of 843,247,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,247,396 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 843,247,396 . The biggest common factor number is the GCF number.
So the greatest common factor 843,247,396 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 12/843, 298/247, 123/396

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 12/843, 298/247, 123/396?

Answer: LCM of Numerators as per given numbers 12/843, 298/247, 123/396 is

LCM of Numerators i.e. for 12,298,123 is 73308

GCF of denominators i.e. for 843,247,396 is 1.

Thus, LCM of Fractions is 73308.Finally, LCM of Fractions for 12/843, 298/247, 123/396 is 73308.