Least Common Multiple of 12/397, 621/35, 972/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/397, 621/35, 972/327 quickly i.e. 22356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/397, 621/35, 972/327 is 22356.

LCM(12/397, 621/35, 972/327) = 22356

LCM of 12/397, 621/35, 972/327

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 12/397,621/35,972/327

Given numbers are 12/397,621/35,972/327

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 12,621,972

Least Common Multiple of Numerators i.e. LCM of 12,621,972 is 22356.

GCF of Denominators means GCF of 397,35,327 as per the given fractions.

GCF of 397,35,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,621,972

LCM of Fractions 12/397,621/35,972/327 is 22356

2 12, 621, 972
2 6, 621, 486
3 3, 621, 243
3 1, 207, 81
3 1, 69, 27
1, 23, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 23 x 9 = 22356

Least Common Multiple of 12,621,972 with GCF Formula

Least Common Multiple of 12,621,972 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 12,621,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,621,972) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(12,621,972) x common factors =3 x 108 = 324

LCM(12,621,972) = ( 12 × 621 × 972 ) / 324

LCM(12,621,972) = 7243344 / 324

LCM(12,621,972) = 22356


Lets's calculate GCF of 397,35,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22356/1

Therefore the LCM of Fractions 12/397,621/35,972/327 is 22356

Greatest Common Factor of 397,35,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,35,327 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 397,35,327 . The biggest common factor number is the GCF number.
So the greatest common factor 397,35,327 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 12/397, 621/35, 972/327

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 12/397, 621/35, 972/327?

Answer: LCM of Numerators as per given numbers 12/397, 621/35, 972/327 is

LCM of Numerators i.e. for 12,621,972 is 22356

GCF of denominators i.e. for 397,35,327 is 1.

Thus, LCM of Fractions is 22356.Finally, LCM of Fractions for 12/397, 621/35, 972/327 is 22356.