Least Common Multiple of 12/218, 14/146, 983/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/218, 14/146, 983/397 quickly i.e. 82572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/218, 14/146, 983/397 is 82572.

LCM(12/218, 14/146, 983/397) = 82572

LCM of 12/218, 14/146, 983/397

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 12/218,14/146,983/397

Given numbers are 12/218,14/146,983/397

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 12,14,983

Least Common Multiple of Numerators i.e. LCM of 12,14,983 is 82572.

GCF of Denominators means GCF of 218,146,397 as per the given fractions.

GCF of 218,146,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,14,983

LCM of Fractions 12/218,14/146,983/397 is 82572

2 12, 14, 983
6, 7, 983

∴ So the LCM of the given numbers is 2 x 6 x 7 x 983 = 82572

Least Common Multiple of 12,14,983 with GCF Formula

Least Common Multiple of 12,14,983 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 12,14,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,14,983) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,14,983) x common factors =1 x 2 = 2

LCM(12,14,983) = ( 12 × 14 × 983 ) / 2

LCM(12,14,983) = 165144 / 2

LCM(12,14,983) = 82572


Lets's calculate GCF of 218,146,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82572/1

Therefore the LCM of Fractions 12/218,14/146,983/397 is 82572

Greatest Common Factor of 218,146,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,146,397 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 397

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

1,397

Greatest Common Factor

We found the factors 218,146,397 . The biggest common factor number is the GCF number.
So the greatest common factor 218,146,397 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 12/218, 14/146, 983/397

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 12/218, 14/146, 983/397?

Answer: LCM of Numerators as per given numbers 12/218, 14/146, 983/397 is

LCM of Numerators i.e. for 12,14,983 is 82572

GCF of denominators i.e. for 218,146,397 is 1.

Thus, LCM of Fractions is 82572.Finally, LCM of Fractions for 12/218, 14/146, 983/397 is 82572.