Least Common Multiple of 8/39, 5/80, 77/68, 52/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/39, 5/80, 77/68, 52/719 quickly i.e. 40040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/39, 5/80, 77/68, 52/719 is 40040.

LCM(8/39, 5/80, 77/68, 52/719) = 40040

LCM of 8/39, 5/80, 77/68, 52/719

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 8/39,5/80,77/68,52/719

Given numbers are 8/39,5/80,77/68,52/719

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 8,5,77,52

Least Common Multiple of Numerators i.e. LCM of 8,5,77,52 is 40040.

GCF of Denominators means GCF of 39,80,68,719 as per the given fractions.

GCF of 39,80,68,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,5,77,52

LCM of Fractions 8/39,5/80,77/68,52/719 is 40040

2 8, 5, 77, 52
2 4, 5, 77, 26
2, 5, 77, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 77 x 13 = 40040

Least Common Multiple of 8,5,77,52 with GCF Formula

Least Common Multiple of 8,5,77,52 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 8,5,77,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,5,77,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,5,77,52) x common factors =1 x 4 = 4

LCM(8,5,77,52) = ( 8 × 5 × 77 × 52 ) / 4

LCM(8,5,77,52) = 160160 / 4

LCM(8,5,77,52) = 40040


Lets's calculate GCF of 39,80,68,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40040/1

Therefore the LCM of Fractions 8/39,5/80,77/68,52/719 is 40040

Greatest Common Factor of 39,80,68,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,80,68,719 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

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 68

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

1,2,4,17,34,68

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 39,80,68,719 . The biggest common factor number is the GCF number.
So the greatest common factor 39,80,68,719 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 8/39, 5/80, 77/68, 52/719

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 8/39, 5/80, 77/68, 52/719?

Answer: LCM of Numerators as per given numbers 8/39, 5/80, 77/68, 52/719 is

LCM of Numerators i.e. for 8,5,77,52 is 40040

GCF of denominators i.e. for 39,80,68,719 is 1.

Thus, LCM of Fractions is 40040.Finally, LCM of Fractions for 8/39, 5/80, 77/68, 52/719 is 40040.