Least Common Multiple of 609/104, 176/855, 192/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/104, 176/855, 192/735 quickly i.e. 428736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/104, 176/855, 192/735 is 428736.

LCM(609/104, 176/855, 192/735) = 428736

LCM of 609/104, 176/855, 192/735

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 609/104,176/855,192/735

Given numbers are 609/104,176/855,192/735

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 609,176,192

Least Common Multiple of Numerators i.e. LCM of 609,176,192 is 428736.

GCF of Denominators means GCF of 104,855,735 as per the given fractions.

GCF of 104,855,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,176,192

LCM of Fractions 609/104,176/855,192/735 is 428736

2 609, 176, 192
2 609, 88, 96
2 609, 44, 48
2 609, 22, 24
3 609, 11, 12
203, 11, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 203 x 11 x 4 = 428736

Least Common Multiple of 609,176,192 with GCF Formula

Least Common Multiple of 609,176,192 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 609,176,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,176,192) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(609,176,192) x common factors =1 x 48 = 48

LCM(609,176,192) = ( 609 × 176 × 192 ) / 48

LCM(609,176,192) = 20579328 / 48

LCM(609,176,192) = 428736


Lets's calculate GCF of 104,855,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428736/1

Therefore the LCM of Fractions 609/104,176/855,192/735 is 428736

Greatest Common Factor of 104,855,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,855,735 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 104,855,735 . The biggest common factor number is the GCF number.
So the greatest common factor 104,855,735 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 609/104, 176/855, 192/735

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 609/104, 176/855, 192/735?

Answer: LCM of Numerators as per given numbers 609/104, 176/855, 192/735 is

LCM of Numerators i.e. for 609,176,192 is 428736

GCF of denominators i.e. for 104,855,735 is 1.

Thus, LCM of Fractions is 428736.Finally, LCM of Fractions for 609/104, 176/855, 192/735 is 428736.