Least Common Multiple of 84/198, 52/449, 234/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/198, 52/449, 234/122 quickly i.e. 3276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/198, 52/449, 234/122 is 3276.

LCM(84/198, 52/449, 234/122) = 3276

LCM of 84/198, 52/449, 234/122

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 84/198,52/449,234/122

Given numbers are 84/198,52/449,234/122

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 84,52,234

Least Common Multiple of Numerators i.e. LCM of 84,52,234 is 3276.

GCF of Denominators means GCF of 198,449,122 as per the given fractions.

GCF of 198,449,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,52,234

LCM of Fractions 84/198,52/449,234/122 is 3276

2 84, 52, 234
2 42, 26, 117
3 21, 13, 117
13 7, 13, 39
7, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 7 x 1 x 3 = 3276

Least Common Multiple of 84,52,234 with GCF Formula

Least Common Multiple of 84,52,234 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 84,52,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,52,234) = 2

common factors(in case of two or more numbers have common factors) = 156

GCF(84,52,234) x common factors =2 x 156 = 312

LCM(84,52,234) = ( 84 × 52 × 234 ) / 312

LCM(84,52,234) = 1022112 / 312

LCM(84,52,234) = 3276


Lets's calculate GCF of 198,449,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3276/1

Therefore the LCM of Fractions 84/198,52/449,234/122 is 3276

Greatest Common Factor of 198,449,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,449,122 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 198,449,122 . The biggest common factor number is the GCF number.
So the greatest common factor 198,449,122 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 84/198, 52/449, 234/122

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 84/198, 52/449, 234/122?

Answer: LCM of Numerators as per given numbers 84/198, 52/449, 234/122 is

LCM of Numerators i.e. for 84,52,234 is 3276

GCF of denominators i.e. for 198,449,122 is 1.

Thus, LCM of Fractions is 3276.Finally, LCM of Fractions for 84/198, 52/449, 234/122 is 3276.