Least Common Multiple of 80/68, 74/96, 71/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/68, 74/96, 71/213 quickly i.e. 210160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/68, 74/96, 71/213 is 210160.

LCM(80/68, 74/96, 71/213) = 210160

LCM of 80/68, 74/96, 71/213

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 80/68,74/96,71/213

Given numbers are 80/68,74/96,71/213

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 80,74,71

Least Common Multiple of Numerators i.e. LCM of 80,74,71 is 210160.

GCF of Denominators means GCF of 68,96,213 as per the given fractions.

GCF of 68,96,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,74,71

LCM of Fractions 80/68,74/96,71/213 is 210160

2 80, 74, 71
40, 37, 71

∴ So the LCM of the given numbers is 2 x 40 x 37 x 71 = 210160

Least Common Multiple of 80,74,71 with GCF Formula

Least Common Multiple of 80,74,71 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 80,74,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,74,71) = 1

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

GCF(80,74,71) x common factors =1 x 2 = 2

LCM(80,74,71) = ( 80 × 74 × 71 ) / 2

LCM(80,74,71) = 420320 / 2

LCM(80,74,71) = 210160


Lets's calculate GCF of 68,96,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210160/1

Therefore the LCM of Fractions 80/68,74/96,71/213 is 210160

Greatest Common Factor of 68,96,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,96,213 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 68,96,213 . The biggest common factor number is the GCF number.
So the greatest common factor 68,96,213 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 80/68, 74/96, 71/213

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 80/68, 74/96, 71/213?

Answer: LCM of Numerators as per given numbers 80/68, 74/96, 71/213 is

LCM of Numerators i.e. for 80,74,71 is 210160

GCF of denominators i.e. for 68,96,213 is 1.

Thus, LCM of Fractions is 210160.Finally, LCM of Fractions for 80/68, 74/96, 71/213 is 210160.