Least Common Multiple of 216/12, 606/98, 431/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/12, 606/98, 431/712 quickly i.e. 4701348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/12, 606/98, 431/712 is 4701348.

LCM(216/12, 606/98, 431/712) = 4701348

LCM of 216/12, 606/98, 431/712

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 216/12,606/98,431/712

Given numbers are 216/12,606/98,431/712

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 216,606,431

Least Common Multiple of Numerators i.e. LCM of 216,606,431 is 9402696.

GCF of Denominators means GCF of 12,98,712 as per the given fractions.

GCF of 12,98,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,606,431

LCM of Fractions 216/12,606/98,431/712 is 4701348

2 216, 606, 431
3 108, 303, 431
36, 101, 431

∴ So the LCM of the given numbers is 2 x 3 x 36 x 101 x 431 = 9402696

Least Common Multiple of 216,606,431 with GCF Formula

Least Common Multiple of 216,606,431 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 216,606,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,606,431) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(216,606,431) x common factors =1 x 6 = 6

LCM(216,606,431) = ( 216 × 606 × 431 ) / 6

LCM(216,606,431) = 56416176 / 6

LCM(216,606,431) = 9402696


Lets's calculate GCF of 12,98,712

2 12, 98, 712
6, 49, 356

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9402696/2

Therefore the LCM of Fractions 216/12,606/98,431/712 is 4701348

Greatest Common Factor of 12,98,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,98,712 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 12,98,712 . The biggest common factor number is the GCF number.
So the greatest common factor 12,98,712 is 2.


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 216/12, 606/98, 431/712

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 216/12, 606/98, 431/712?

Answer: LCM of Numerators as per given numbers 216/12, 606/98, 431/712 is

LCM of Numerators i.e. for 216,606,431 is 9402696

GCF of denominators i.e. for 12,98,712 is 2.

Thus, LCM of Fractions is 4701348.Finally, LCM of Fractions for 216/12, 606/98, 431/712 is 4701348.