Least Common Multiple of 45/192, 52/378, 786/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/192, 52/378, 786/855 quickly i.e. 102180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/192, 52/378, 786/855 is 102180.

LCM(45/192, 52/378, 786/855) = 102180

LCM of 45/192, 52/378, 786/855

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 45/192,52/378,786/855

Given numbers are 45/192,52/378,786/855

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 45,52,786

Least Common Multiple of Numerators i.e. LCM of 45,52,786 is 306540.

GCF of Denominators means GCF of 192,378,855 as per the given fractions.

GCF of 192,378,855 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,52,786

LCM of Fractions 45/192,52/378,786/855 is 102180

2 45, 52, 786
3 45, 26, 393
15, 26, 131

∴ So the LCM of the given numbers is 2 x 3 x 15 x 26 x 131 = 306540

Least Common Multiple of 45,52,786 with GCF Formula

Least Common Multiple of 45,52,786 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 45,52,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,52,786) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,52,786) x common factors =1 x 6 = 6

LCM(45,52,786) = ( 45 × 52 × 786 ) / 6

LCM(45,52,786) = 1839240 / 6

LCM(45,52,786) = 306540


Lets's calculate GCF of 192,378,855

3 192, 378, 855
64, 126, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306540/3

Therefore the LCM of Fractions 45/192,52/378,786/855 is 102180

Greatest Common Factor of 192,378,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,378,855 By Matching Biggest Common Factor Method

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

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

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

Greatest Common Factor

We found the factors 192,378,855 . The biggest common factor number is the GCF number.
So the greatest common factor 192,378,855 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 45/192, 52/378, 786/855

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 45/192, 52/378, 786/855?

Answer: LCM of Numerators as per given numbers 45/192, 52/378, 786/855 is

LCM of Numerators i.e. for 45,52,786 is 306540

GCF of denominators i.e. for 192,378,855 is 3.

Thus, LCM of Fractions is 102180.Finally, LCM of Fractions for 45/192, 52/378, 786/855 is 102180.