Least Common Multiple of 324/21, 838/9797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/21, 838/9797 quickly i.e. 135756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/21, 838/9797 is 135756.

LCM(324/21, 838/9797) = 135756

LCM of 324/21, 838/9797

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 324/21,838/9797

Given numbers are 324/21,838/9797

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 324,838

Least Common Multiple of Numerators i.e. LCM of 324,838 is 135756.

GCF of Denominators means GCF of 21,9797 as per the given fractions.

GCF of 21,9797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,838

LCM of Fractions 324/21,838/9797 is 135756

2 324, 838
162, 419

∴ So the LCM of the given numbers is 2 x 162 x 419 = 135756

Least Common Multiple of 324,838 with GCF Formula

Least Common Multiple of 324,838 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 324,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,838) = 2

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

GCF(324,838) x common factors =2 x 1 = 2

LCM(324,838) = ( 324 × 838 ) / 2

LCM(324,838) = 271512 / 2

LCM(324,838) = 135756


Lets's calculate GCF of 21,9797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135756/1

Therefore the LCM of Fractions 324/21,838/9797 is 135756

Greatest Common Factor of 21,9797 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,9797 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1,97,101,9797

Greatest Common Factor

We found the factors 21,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 21,9797 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 324/21, 838/9797

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 324/21, 838/9797?

Answer: LCM of Numerators as per given numbers 324/21, 838/9797 is

LCM of Numerators i.e. for 324,838 is 135756

GCF of denominators i.e. for 21,9797 is 1.

Thus, LCM of Fractions is 135756.Finally, LCM of Fractions for 324/21, 838/9797 is 135756.