Least Common Multiple of 91/12, 218/33, 212/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/12, 218/33, 212/713 quickly i.e. 2102828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/12, 218/33, 212/713 is 2102828.

LCM(91/12, 218/33, 212/713) = 2102828

LCM of 91/12, 218/33, 212/713

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 91/12,218/33,212/713

Given numbers are 91/12,218/33,212/713

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 91,218,212

Least Common Multiple of Numerators i.e. LCM of 91,218,212 is 2102828.

GCF of Denominators means GCF of 12,33,713 as per the given fractions.

GCF of 12,33,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,218,212

LCM of Fractions 91/12,218/33,212/713 is 2102828

2 91, 218, 212
91, 109, 106

∴ So the LCM of the given numbers is 2 x 91 x 109 x 106 = 2102828

Least Common Multiple of 91,218,212 with GCF Formula

Least Common Multiple of 91,218,212 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 91,218,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,218,212) = 1

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

GCF(91,218,212) x common factors =1 x 2 = 2

LCM(91,218,212) = ( 91 × 218 × 212 ) / 2

LCM(91,218,212) = 4205656 / 2

LCM(91,218,212) = 2102828


Lets's calculate GCF of 12,33,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2102828/1

Therefore the LCM of Fractions 91/12,218/33,212/713 is 2102828

Greatest Common Factor of 12,33,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,33,713 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 12,33,713 . The biggest common factor number is the GCF number.
So the greatest common factor 12,33,713 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 91/12, 218/33, 212/713

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 91/12, 218/33, 212/713?

Answer: LCM of Numerators as per given numbers 91/12, 218/33, 212/713 is

LCM of Numerators i.e. for 91,218,212 is 2102828

GCF of denominators i.e. for 12,33,713 is 1.

Thus, LCM of Fractions is 2102828.Finally, LCM of Fractions for 91/12, 218/33, 212/713 is 2102828.