Least Common Multiple of 6/78, 5/16, 71/17, 80/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/78, 5/16, 71/17, 80/734 quickly i.e. 17040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/78, 5/16, 71/17, 80/734 is 17040.

LCM(6/78, 5/16, 71/17, 80/734) = 17040

LCM of 6/78, 5/16, 71/17, 80/734

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 6/78,5/16,71/17,80/734

Given numbers are 6/78,5/16,71/17,80/734

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 6,5,71,80

Least Common Multiple of Numerators i.e. LCM of 6,5,71,80 is 17040.

GCF of Denominators means GCF of 78,16,17,734 as per the given fractions.

GCF of 78,16,17,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,5,71,80

LCM of Fractions 6/78,5/16,71/17,80/734 is 17040

2 6, 5, 71, 80
5 3, 5, 71, 40
3, 1, 71, 8

∴ So the LCM of the given numbers is 2 x 5 x 3 x 1 x 71 x 8 = 17040

Least Common Multiple of 6,5,71,80 with GCF Formula

Least Common Multiple of 6,5,71,80 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 6,5,71,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,5,71,80) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(6,5,71,80) x common factors =1 x 10 = 10

LCM(6,5,71,80) = ( 6 × 5 × 71 × 80 ) / 10

LCM(6,5,71,80) = 170400 / 10

LCM(6,5,71,80) = 17040


Lets's calculate GCF of 78,16,17,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17040/1

Therefore the LCM of Fractions 6/78,5/16,71/17,80/734 is 17040

Greatest Common Factor of 78,16,17,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,16,17,734 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 78,16,17,734 . The biggest common factor number is the GCF number.
So the greatest common factor 78,16,17,734 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 6/78, 5/16, 71/17, 80/734

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 6/78, 5/16, 71/17, 80/734?

Answer: LCM of Numerators as per given numbers 6/78, 5/16, 71/17, 80/734 is

LCM of Numerators i.e. for 6,5,71,80 is 17040

GCF of denominators i.e. for 78,16,17,734 is 1.

Thus, LCM of Fractions is 17040.Finally, LCM of Fractions for 6/78, 5/16, 71/17, 80/734 is 17040.