Least Common Multiple of 84/222, 667/784, 131/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/222, 667/784, 131/394 quickly i.e. 3669834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/222, 667/784, 131/394 is 3669834.

LCM(84/222, 667/784, 131/394) = 3669834

LCM of 84/222, 667/784, 131/394

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 84/222,667/784,131/394

Given numbers are 84/222,667/784,131/394

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 84,667,131

Least Common Multiple of Numerators i.e. LCM of 84,667,131 is 7339668.

GCF of Denominators means GCF of 222,784,394 as per the given fractions.

GCF of 222,784,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,667,131

LCM of Fractions 84/222,667/784,131/394 is 3669834

Given numbers has no common factors except 1. So, there LCM is their product i.e 7339668

Least Common Multiple of 84,667,131 with GCF Formula

Least Common Multiple of 84,667,131 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 84,667,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,667,131) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(84,667,131) x common factors =1 x 1 = 1

LCM(84,667,131) = ( 84 × 667 × 131 ) / 1

LCM(84,667,131) = 7339668 / 1

LCM(84,667,131) = 7339668


Lets's calculate GCF of 222,784,394

2 222, 784, 394
111, 392, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7339668/2

Therefore the LCM of Fractions 84/222,667/784,131/394 is 3669834

Greatest Common Factor of 222,784,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,784,394 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 222,784,394 . The biggest common factor number is the GCF number.
So the greatest common factor 222,784,394 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 84/222, 667/784, 131/394

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 84/222, 667/784, 131/394?

Answer: LCM of Numerators as per given numbers 84/222, 667/784, 131/394 is

LCM of Numerators i.e. for 84,667,131 is 7339668

GCF of denominators i.e. for 222,784,394 is 2.

Thus, LCM of Fractions is 3669834.Finally, LCM of Fractions for 84/222, 667/784, 131/394 is 3669834.