Least Common Multiple of 99/146, 96/228, 504/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/146, 96/228, 504/334 quickly i.e. 11088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/146, 96/228, 504/334 is 11088.

LCM(99/146, 96/228, 504/334) = 11088

LCM of 99/146, 96/228, 504/334

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 99/146,96/228,504/334

Given numbers are 99/146,96/228,504/334

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 99,96,504

Least Common Multiple of Numerators i.e. LCM of 99,96,504 is 22176.

GCF of Denominators means GCF of 146,228,334 as per the given fractions.

GCF of 146,228,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,96,504

LCM of Fractions 99/146,96/228,504/334 is 11088

2 99, 96, 504
2 99, 48, 252
2 99, 24, 126
3 99, 12, 63
3 33, 4, 21
11, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 4 x 7 = 22176

Least Common Multiple of 99,96,504 with GCF Formula

Least Common Multiple of 99,96,504 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 99,96,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,96,504) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(99,96,504) x common factors =3 x 72 = 216

LCM(99,96,504) = ( 99 × 96 × 504 ) / 216

LCM(99,96,504) = 4790016 / 216

LCM(99,96,504) = 22176


Lets's calculate GCF of 146,228,334

2 146, 228, 334
73, 114, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22176/2

Therefore the LCM of Fractions 99/146,96/228,504/334 is 11088

Greatest Common Factor of 146,228,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,228,334 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 146,228,334 . The biggest common factor number is the GCF number.
So the greatest common factor 146,228,334 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 99/146, 96/228, 504/334

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 99/146, 96/228, 504/334?

Answer: LCM of Numerators as per given numbers 99/146, 96/228, 504/334 is

LCM of Numerators i.e. for 99,96,504 is 22176

GCF of denominators i.e. for 146,228,334 is 2.

Thus, LCM of Fractions is 11088.Finally, LCM of Fractions for 99/146, 96/228, 504/334 is 11088.