Least Common Multiple of 626/45, 927/36, 206/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/45, 927/36, 206/192 quickly i.e. 193434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/45, 927/36, 206/192 is 193434.

LCM(626/45, 927/36, 206/192) = 193434

LCM of 626/45, 927/36, 206/192

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 626/45,927/36,206/192

Given numbers are 626/45,927/36,206/192

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 626,927,206

Least Common Multiple of Numerators i.e. LCM of 626,927,206 is 580302.

GCF of Denominators means GCF of 45,36,192 as per the given fractions.

GCF of 45,36,192 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,927,206

LCM of Fractions 626/45,927/36,206/192 is 193434

2 626, 927, 206
103 313, 927, 103
313, 9, 1

∴ So the LCM of the given numbers is 2 x 103 x 313 x 9 x 1 = 580302

Least Common Multiple of 626,927,206 with GCF Formula

Least Common Multiple of 626,927,206 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 626,927,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,927,206) = 1

common factors(in case of two or more numbers have common factors) = 206

GCF(626,927,206) x common factors =1 x 206 = 206

LCM(626,927,206) = ( 626 × 927 × 206 ) / 206

LCM(626,927,206) = 119542212 / 206

LCM(626,927,206) = 580302


Lets's calculate GCF of 45,36,192

3 45, 36, 192
15, 12, 64

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580302/3

Therefore the LCM of Fractions 626/45,927/36,206/192 is 193434

Greatest Common Factor of 45,36,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,36,192 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 45,36,192 . The biggest common factor number is the GCF number.
So the greatest common factor 45,36,192 is 3.


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 626/45, 927/36, 206/192

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 626/45, 927/36, 206/192?

Answer: LCM of Numerators as per given numbers 626/45, 927/36, 206/192 is

LCM of Numerators i.e. for 626,927,206 is 580302

GCF of denominators i.e. for 45,36,192 is 3.

Thus, LCM of Fractions is 193434.Finally, LCM of Fractions for 626/45, 927/36, 206/192 is 193434.