Least Common Multiple of 84/165, 99/304, 616/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/165, 99/304, 616/192 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/165, 99/304, 616/192 is 5544.

LCM(84/165, 99/304, 616/192) = 5544

LCM of 84/165, 99/304, 616/192

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 84/165,99/304,616/192

Given numbers are 84/165,99/304,616/192

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 84,99,616

Least Common Multiple of Numerators i.e. LCM of 84,99,616 is 5544.

GCF of Denominators means GCF of 165,304,192 as per the given fractions.

GCF of 165,304,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,99,616

LCM of Fractions 84/165,99/304,616/192 is 5544

2 84, 99, 616
2 42, 99, 308
3 21, 99, 154
7 7, 33, 154
11 1, 33, 22
1, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 1 x 3 x 2 = 5544

Least Common Multiple of 84,99,616 with GCF Formula

Least Common Multiple of 84,99,616 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 84,99,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,99,616) = 1

common factors(in case of two or more numbers have common factors) = 924

GCF(84,99,616) x common factors =1 x 924 = 924

LCM(84,99,616) = ( 84 × 99 × 616 ) / 924

LCM(84,99,616) = 5122656 / 924

LCM(84,99,616) = 5544


Lets's calculate GCF of 165,304,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 84/165,99/304,616/192 is 5544

Greatest Common Factor of 165,304,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,304,192 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 165,304,192 . The biggest common factor number is the GCF number.
So the greatest common factor 165,304,192 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 84/165, 99/304, 616/192

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 84/165, 99/304, 616/192?

Answer: LCM of Numerators as per given numbers 84/165, 99/304, 616/192 is

LCM of Numerators i.e. for 84,99,616 is 5544

GCF of denominators i.e. for 165,304,192 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 84/165, 99/304, 616/192 is 5544.