Least Common Multiple of 561/27, 468/97, 850/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/27, 468/97, 850/192 quickly i.e. 2187900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/27, 468/97, 850/192 is 2187900.

LCM(561/27, 468/97, 850/192) = 2187900

LCM of 561/27, 468/97, 850/192

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 561/27,468/97,850/192

Given numbers are 561/27,468/97,850/192

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 561,468,850

Least Common Multiple of Numerators i.e. LCM of 561,468,850 is 2187900.

GCF of Denominators means GCF of 27,97,192 as per the given fractions.

GCF of 27,97,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,468,850

LCM of Fractions 561/27,468/97,850/192 is 2187900

2 561, 468, 850
3 561, 234, 425
17 187, 78, 425
11, 78, 25

∴ So the LCM of the given numbers is 2 x 3 x 17 x 11 x 78 x 25 = 2187900

Least Common Multiple of 561,468,850 with GCF Formula

Least Common Multiple of 561,468,850 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 561,468,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,468,850) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(561,468,850) x common factors =1 x 102 = 102

LCM(561,468,850) = ( 561 × 468 × 850 ) / 102

LCM(561,468,850) = 223165800 / 102

LCM(561,468,850) = 2187900


Lets's calculate GCF of 27,97,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2187900/1

Therefore the LCM of Fractions 561/27,468/97,850/192 is 2187900

Greatest Common Factor of 27,97,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,97,192 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

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 27,97,192 . The biggest common factor number is the GCF number.
So the greatest common factor 27,97,192 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 561/27, 468/97, 850/192

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 561/27, 468/97, 850/192?

Answer: LCM of Numerators as per given numbers 561/27, 468/97, 850/192 is

LCM of Numerators i.e. for 561,468,850 is 2187900

GCF of denominators i.e. for 27,97,192 is 1.

Thus, LCM of Fractions is 2187900.Finally, LCM of Fractions for 561/27, 468/97, 850/192 is 2187900.