Least Common Multiple of 869/27, 342/51, 100/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/27, 342/51, 100/223 quickly i.e. 14859900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/27, 342/51, 100/223 is 14859900.

LCM(869/27, 342/51, 100/223) = 14859900

LCM of 869/27, 342/51, 100/223

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 869/27,342/51,100/223

Given numbers are 869/27,342/51,100/223

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 869,342,100

Least Common Multiple of Numerators i.e. LCM of 869,342,100 is 14859900.

GCF of Denominators means GCF of 27,51,223 as per the given fractions.

GCF of 27,51,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,342,100

LCM of Fractions 869/27,342/51,100/223 is 14859900

2 869, 342, 100
869, 171, 50

∴ So the LCM of the given numbers is 2 x 869 x 171 x 50 = 14859900

Least Common Multiple of 869,342,100 with GCF Formula

Least Common Multiple of 869,342,100 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 869,342,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,342,100) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(869,342,100) x common factors =1 x 2 = 2

LCM(869,342,100) = ( 869 × 342 × 100 ) / 2

LCM(869,342,100) = 29719800 / 2

LCM(869,342,100) = 14859900


Lets's calculate GCF of 27,51,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14859900/1

Therefore the LCM of Fractions 869/27,342/51,100/223 is 14859900

Greatest Common Factor of 27,51,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,51,223 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 27,51,223 . The biggest common factor number is the GCF number.
So the greatest common factor 27,51,223 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 869/27, 342/51, 100/223

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 869/27, 342/51, 100/223?

Answer: LCM of Numerators as per given numbers 869/27, 342/51, 100/223 is

LCM of Numerators i.e. for 869,342,100 is 14859900

GCF of denominators i.e. for 27,51,223 is 1.

Thus, LCM of Fractions is 14859900.Finally, LCM of Fractions for 869/27, 342/51, 100/223 is 14859900.