Least Common Multiple of 84/214, 19/576, 119/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/214, 19/576, 119/999 quickly i.e. 27132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/214, 19/576, 119/999 is 27132.

LCM(84/214, 19/576, 119/999) = 27132

LCM of 84/214, 19/576, 119/999

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 84/214,19/576,119/999

Given numbers are 84/214,19/576,119/999

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 84,19,119

Least Common Multiple of Numerators i.e. LCM of 84,19,119 is 27132.

GCF of Denominators means GCF of 214,576,999 as per the given fractions.

GCF of 214,576,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,19,119

LCM of Fractions 84/214,19/576,119/999 is 27132

7 84, 19, 119
12, 19, 17

∴ So the LCM of the given numbers is 7 x 12 x 19 x 17 = 27132

Least Common Multiple of 84,19,119 with GCF Formula

Least Common Multiple of 84,19,119 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 84,19,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,19,119) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(84,19,119) x common factors =1 x 7 = 7

LCM(84,19,119) = ( 84 × 19 × 119 ) / 7

LCM(84,19,119) = 189924 / 7

LCM(84,19,119) = 27132


Lets's calculate GCF of 214,576,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27132/1

Therefore the LCM of Fractions 84/214,19/576,119/999 is 27132

Greatest Common Factor of 214,576,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,576,999 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 214,576,999 . The biggest common factor number is the GCF number.
So the greatest common factor 214,576,999 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 84/214, 19/576, 119/999

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 84/214, 19/576, 119/999?

Answer: LCM of Numerators as per given numbers 84/214, 19/576, 119/999 is

LCM of Numerators i.e. for 84,19,119 is 27132

GCF of denominators i.e. for 214,576,999 is 1.

Thus, LCM of Fractions is 27132.Finally, LCM of Fractions for 84/214, 19/576, 119/999 is 27132.