Least Common Multiple of 4596/439, 8809/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4596/439, 8809/978 quickly i.e. 105708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4596/439, 8809/978 is 105708.

LCM(4596/439, 8809/978) = 105708

LCM of 4596/439, 8809/978

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 4596/439,8809/978

Given numbers are 4596/439,8809/978

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 4596,8809

Least Common Multiple of Numerators i.e. LCM of 4596,8809 is 105708.

GCF of Denominators means GCF of 439,978 as per the given fractions.

GCF of 439,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4596,8809

LCM of Fractions 4596/439,8809/978 is 105708

383 4596, 8809
12, 23

∴ So the LCM of the given numbers is 383 x 12 x 23 = 105708

Least Common Multiple of 4596,8809 with GCF Formula

Least Common Multiple of 4596,8809 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 4596,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4596,8809) = 383

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

GCF(4596,8809) x common factors =383 x 1 = 383

LCM(4596,8809) = ( 4596 × 8809 ) / 383

LCM(4596,8809) = 40486164 / 383

LCM(4596,8809) = 105708


Lets's calculate GCF of 439,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105708/1

Therefore the LCM of Fractions 4596/439,8809/978 is 105708

Greatest Common Factor of 439,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,978 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 439,978 . The biggest common factor number is the GCF number.
So the greatest common factor 439,978 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 4596/439, 8809/978

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 4596/439, 8809/978?

Answer: LCM of Numerators as per given numbers 4596/439, 8809/978 is

LCM of Numerators i.e. for 4596,8809 is 105708

GCF of denominators i.e. for 439,978 is 1.

Thus, LCM of Fractions is 105708.Finally, LCM of Fractions for 4596/439, 8809/978 is 105708.