Least Common Multiple of 12/712, 31/194, 100/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/712, 31/194, 100/886 quickly i.e. 4650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/712, 31/194, 100/886 is 4650.

LCM(12/712, 31/194, 100/886) = 4650

LCM of 12/712, 31/194, 100/886

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 12/712,31/194,100/886

Given numbers are 12/712,31/194,100/886

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 12,31,100

Least Common Multiple of Numerators i.e. LCM of 12,31,100 is 9300.

GCF of Denominators means GCF of 712,194,886 as per the given fractions.

GCF of 712,194,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,31,100

LCM of Fractions 12/712,31/194,100/886 is 4650

2 12, 31, 100
2 6, 31, 50
3, 31, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 25 = 9300

Least Common Multiple of 12,31,100 with GCF Formula

Least Common Multiple of 12,31,100 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 12,31,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,31,100) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,31,100) x common factors =1 x 4 = 4

LCM(12,31,100) = ( 12 × 31 × 100 ) / 4

LCM(12,31,100) = 37200 / 4

LCM(12,31,100) = 9300


Lets's calculate GCF of 712,194,886

2 712, 194, 886
356, 97, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9300/2

Therefore the LCM of Fractions 12/712,31/194,100/886 is 4650

Greatest Common Factor of 712,194,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,194,886 By Matching Biggest Common Factor Method

Factors of 712

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

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

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 712,194,886 . The biggest common factor number is the GCF number.
So the greatest common factor 712,194,886 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 12/712, 31/194, 100/886

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 12/712, 31/194, 100/886?

Answer: LCM of Numerators as per given numbers 12/712, 31/194, 100/886 is

LCM of Numerators i.e. for 12,31,100 is 9300

GCF of denominators i.e. for 712,194,886 is 2.

Thus, LCM of Fractions is 4650.Finally, LCM of Fractions for 12/712, 31/194, 100/886 is 4650.