Least Common Multiple of 1998/579, 9346/7851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1998/579, 9346/7851 quickly i.e. 3112218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1998/579, 9346/7851 is 3112218.

LCM(1998/579, 9346/7851) = 3112218

LCM of 1998/579, 9346/7851

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 1998/579,9346/7851

Given numbers are 1998/579,9346/7851

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 1998,9346

Least Common Multiple of Numerators i.e. LCM of 1998,9346 is 9336654.

GCF of Denominators means GCF of 579,7851 as per the given fractions.

GCF of 579,7851 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1998,9346

LCM of Fractions 1998/579,9346/7851 is 3112218

2 1998, 9346
999, 4673

∴ So the LCM of the given numbers is 2 x 999 x 4673 = 9336654

Least Common Multiple of 1998,9346 with GCF Formula

Least Common Multiple of 1998,9346 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 1998,9346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1998,9346) = 2

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

GCF(1998,9346) x common factors =2 x 1 = 2

LCM(1998,9346) = ( 1998 × 9346 ) / 2

LCM(1998,9346) = 18673308 / 2

LCM(1998,9346) = 9336654


Lets's calculate GCF of 579,7851

3 579, 7851
193, 2617

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9336654/3

Therefore the LCM of Fractions 1998/579,9346/7851 is 3112218

Greatest Common Factor of 579,7851 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,7851 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1,3,2617,7851

Greatest Common Factor

We found the factors 579,7851 . The biggest common factor number is the GCF number.
So the greatest common factor 579,7851 is 3.


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 1998/579, 9346/7851

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 1998/579, 9346/7851?

Answer: LCM of Numerators as per given numbers 1998/579, 9346/7851 is

LCM of Numerators i.e. for 1998,9346 is 9336654

GCF of denominators i.e. for 579,7851 is 3.

Thus, LCM of Fractions is 3112218.Finally, LCM of Fractions for 1998/579, 9346/7851 is 3112218.