Least Common Multiple of 39/529, 80/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/529, 80/782 quickly i.e. 3120/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/529, 80/782 is 3120/23.

LCM(39/529, 80/782) = 3120/23

LCM of 39/529, 80/782

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 39/529,80/782

Given numbers are 39/529,80/782

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 39,80

Least Common Multiple of Numerators i.e. LCM of 39,80 is 3120.

GCF of Denominators means GCF of 529,782 as per the given fractions.

GCF of 529,782 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,80

LCM of Fractions 39/529,80/782 is 3120/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 3120

Least Common Multiple of 39,80 with GCF Formula

Least Common Multiple of 39,80 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 39,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,80) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(39,80) x common factors =1 x 1 = 1

LCM(39,80) = ( 39 × 80 ) / 1

LCM(39,80) = 3120 / 1

LCM(39,80) = 3120


Lets's calculate GCF of 529,782

23 529, 782
23, 34

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/23

Therefore the LCM of Fractions 39/529,80/782 is 3120/23

Greatest Common Factor of 529,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,782 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 529,782 . The biggest common factor number is the GCF number.
So the greatest common factor 529,782 is 23.


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 39/529, 80/782

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 39/529, 80/782?

Answer: LCM of Numerators as per given numbers 39/529, 80/782 is

LCM of Numerators i.e. for 39,80 is 3120

GCF of denominators i.e. for 529,782 is 23.

Thus, LCM of Fractions is 3120/23.Finally, LCM of Fractions for 39/529, 80/782 is 3120/23.