Least Common Multiple of 84/80, 38/18, 573/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/80, 38/18, 573/214 quickly i.e. 152418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/80, 38/18, 573/214 is 152418.

LCM(84/80, 38/18, 573/214) = 152418

LCM of 84/80, 38/18, 573/214

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 84/80,38/18,573/214

Given numbers are 84/80,38/18,573/214

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 84,38,573

Least Common Multiple of Numerators i.e. LCM of 84,38,573 is 304836.

GCF of Denominators means GCF of 80,18,214 as per the given fractions.

GCF of 80,18,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,38,573

LCM of Fractions 84/80,38/18,573/214 is 152418

2 84, 38, 573
3 42, 19, 573
14, 19, 191

∴ So the LCM of the given numbers is 2 x 3 x 14 x 19 x 191 = 304836

Least Common Multiple of 84,38,573 with GCF Formula

Least Common Multiple of 84,38,573 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 84,38,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,38,573) = 1

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

GCF(84,38,573) x common factors =1 x 6 = 6

LCM(84,38,573) = ( 84 × 38 × 573 ) / 6

LCM(84,38,573) = 1829016 / 6

LCM(84,38,573) = 304836


Lets's calculate GCF of 80,18,214

2 80, 18, 214
40, 9, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304836/2

Therefore the LCM of Fractions 84/80,38/18,573/214 is 152418

Greatest Common Factor of 80,18,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,18,214 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 214

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

1,2,107,214

Greatest Common Factor

We found the factors 80,18,214 . The biggest common factor number is the GCF number.
So the greatest common factor 80,18,214 is 2.


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 84/80, 38/18, 573/214

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 84/80, 38/18, 573/214?

Answer: LCM of Numerators as per given numbers 84/80, 38/18, 573/214 is

LCM of Numerators i.e. for 84,38,573 is 304836

GCF of denominators i.e. for 80,18,214 is 2.

Thus, LCM of Fractions is 152418.Finally, LCM of Fractions for 84/80, 38/18, 573/214 is 152418.