Least Common Multiple of 4596/592, 6516/8125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4596/592, 6516/8125 quickly i.e. 2495628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4596/592, 6516/8125 is 2495628.

LCM(4596/592, 6516/8125) = 2495628

LCM of 4596/592, 6516/8125

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 4596/592,6516/8125

Given numbers are 4596/592,6516/8125

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 4596,6516

Least Common Multiple of Numerators i.e. LCM of 4596,6516 is 2495628.

GCF of Denominators means GCF of 592,8125 as per the given fractions.

GCF of 592,8125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4596,6516

LCM of Fractions 4596/592,6516/8125 is 2495628

2 4596, 6516
2 2298, 3258
3 1149, 1629
383, 543

∴ So the LCM of the given numbers is 2 x 2 x 3 x 383 x 543 = 2495628

Least Common Multiple of 4596,6516 with GCF Formula

Least Common Multiple of 4596,6516 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 4596,6516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4596,6516) = 12

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

GCF(4596,6516) x common factors =12 x 1 = 12

LCM(4596,6516) = ( 4596 × 6516 ) / 12

LCM(4596,6516) = 29947536 / 12

LCM(4596,6516) = 2495628


Lets's calculate GCF of 592,8125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2495628/1

Therefore the LCM of Fractions 4596/592,6516/8125 is 2495628

Greatest Common Factor of 592,8125 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,8125 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Greatest Common Factor

We found the factors 592,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 592,8125 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 4596/592, 6516/8125

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 4596/592, 6516/8125?

Answer: LCM of Numerators as per given numbers 4596/592, 6516/8125 is

LCM of Numerators i.e. for 4596,6516 is 2495628

GCF of denominators i.e. for 592,8125 is 1.

Thus, LCM of Fractions is 2495628.Finally, LCM of Fractions for 4596/592, 6516/8125 is 2495628.