Least Common Multiple of 84/194, 85/323, 867/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/194, 85/323, 867/530 quickly i.e. 121380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/194, 85/323, 867/530 is 121380.

LCM(84/194, 85/323, 867/530) = 121380

LCM of 84/194, 85/323, 867/530

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 84/194,85/323,867/530

Given numbers are 84/194,85/323,867/530

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 84,85,867

Least Common Multiple of Numerators i.e. LCM of 84,85,867 is 121380.

GCF of Denominators means GCF of 194,323,530 as per the given fractions.

GCF of 194,323,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,85,867

LCM of Fractions 84/194,85/323,867/530 is 121380

3 84, 85, 867
17 28, 85, 289
28, 5, 17

∴ So the LCM of the given numbers is 3 x 17 x 28 x 5 x 17 = 121380

Least Common Multiple of 84,85,867 with GCF Formula

Least Common Multiple of 84,85,867 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 84,85,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,85,867) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(84,85,867) x common factors =1 x 51 = 51

LCM(84,85,867) = ( 84 × 85 × 867 ) / 51

LCM(84,85,867) = 6190380 / 51

LCM(84,85,867) = 121380


Lets's calculate GCF of 194,323,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121380/1

Therefore the LCM of Fractions 84/194,85/323,867/530 is 121380

Greatest Common Factor of 194,323,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,323,530 By Matching Biggest Common Factor Method

Factors of 194

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

1,2,97,194

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 194,323,530 . The biggest common factor number is the GCF number.
So the greatest common factor 194,323,530 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 84/194, 85/323, 867/530

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 84/194, 85/323, 867/530?

Answer: LCM of Numerators as per given numbers 84/194, 85/323, 867/530 is

LCM of Numerators i.e. for 84,85,867 is 121380

GCF of denominators i.e. for 194,323,530 is 1.

Thus, LCM of Fractions is 121380.Finally, LCM of Fractions for 84/194, 85/323, 867/530 is 121380.