Least Common Multiple of 27/904, 192/196, 169/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/904, 192/196, 169/388 quickly i.e. 73008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/904, 192/196, 169/388 is 73008.

LCM(27/904, 192/196, 169/388) = 73008

LCM of 27/904, 192/196, 169/388

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 27/904,192/196,169/388

Given numbers are 27/904,192/196,169/388

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 27,192,169

Least Common Multiple of Numerators i.e. LCM of 27,192,169 is 292032.

GCF of Denominators means GCF of 904,196,388 as per the given fractions.

GCF of 904,196,388 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,192,169

LCM of Fractions 27/904,192/196,169/388 is 73008

3 27, 192, 169
9, 64, 169

∴ So the LCM of the given numbers is 3 x 9 x 64 x 169 = 292032

Least Common Multiple of 27,192,169 with GCF Formula

Least Common Multiple of 27,192,169 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 27,192,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,192,169) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,192,169) x common factors =1 x 3 = 3

LCM(27,192,169) = ( 27 × 192 × 169 ) / 3

LCM(27,192,169) = 876096 / 3

LCM(27,192,169) = 292032


Lets's calculate GCF of 904,196,388

2 904, 196, 388
2 452, 98, 194
226, 49, 97

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292032/4

Therefore the LCM of Fractions 27/904,192/196,169/388 is 73008

Greatest Common Factor of 904,196,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,196,388 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 904,196,388 . The biggest common factor number is the GCF number.
So the greatest common factor 904,196,388 is 4.


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 27/904, 192/196, 169/388

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 27/904, 192/196, 169/388?

Answer: LCM of Numerators as per given numbers 27/904, 192/196, 169/388 is

LCM of Numerators i.e. for 27,192,169 is 292032

GCF of denominators i.e. for 904,196,388 is 4.

Thus, LCM of Fractions is 73008.Finally, LCM of Fractions for 27/904, 192/196, 169/388 is 73008.