Least Common Multiple of 29/198, 84/426, 472/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/198, 84/426, 472/358 quickly i.e. 143724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/198, 84/426, 472/358 is 143724.

LCM(29/198, 84/426, 472/358) = 143724

LCM of 29/198, 84/426, 472/358

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 29/198,84/426,472/358

Given numbers are 29/198,84/426,472/358

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 29,84,472

Least Common Multiple of Numerators i.e. LCM of 29,84,472 is 287448.

GCF of Denominators means GCF of 198,426,358 as per the given fractions.

GCF of 198,426,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,84,472

LCM of Fractions 29/198,84/426,472/358 is 143724

2 29, 84, 472
2 29, 42, 236
29, 21, 118

∴ So the LCM of the given numbers is 2 x 2 x 29 x 21 x 118 = 287448

Least Common Multiple of 29,84,472 with GCF Formula

Least Common Multiple of 29,84,472 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 29,84,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,84,472) = 1

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

GCF(29,84,472) x common factors =1 x 4 = 4

LCM(29,84,472) = ( 29 × 84 × 472 ) / 4

LCM(29,84,472) = 1149792 / 4

LCM(29,84,472) = 287448


Lets's calculate GCF of 198,426,358

2 198, 426, 358
99, 213, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287448/2

Therefore the LCM of Fractions 29/198,84/426,472/358 is 143724

Greatest Common Factor of 198,426,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,426,358 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 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 198,426,358 . The biggest common factor number is the GCF number.
So the greatest common factor 198,426,358 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 29/198, 84/426, 472/358

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 29/198, 84/426, 472/358?

Answer: LCM of Numerators as per given numbers 29/198, 84/426, 472/358 is

LCM of Numerators i.e. for 29,84,472 is 287448

GCF of denominators i.e. for 198,426,358 is 2.

Thus, LCM of Fractions is 143724.Finally, LCM of Fractions for 29/198, 84/426, 472/358 is 143724.