Least Common Multiple of 2585/688, 2173/4999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2585/688, 2173/4999 quickly i.e. 5617205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2585/688, 2173/4999 is 5617205.

LCM(2585/688, 2173/4999) = 5617205

LCM of 2585/688, 2173/4999

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 2585/688,2173/4999

Given numbers are 2585/688,2173/4999

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 2585,2173

Least Common Multiple of Numerators i.e. LCM of 2585,2173 is 5617205.

GCF of Denominators means GCF of 688,4999 as per the given fractions.

GCF of 688,4999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2585,2173

LCM of Fractions 2585/688,2173/4999 is 5617205

Given numbers has no common factors except 1. So, there LCM is their product i.e 5617205

Least Common Multiple of 2585,2173 with GCF Formula

Least Common Multiple of 2585,2173 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 2585,2173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2585,2173) = 1

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

GCF(2585,2173) x common factors =1 x 1 = 1

LCM(2585,2173) = ( 2585 × 2173 ) / 1

LCM(2585,2173) = 5617205 / 1

LCM(2585,2173) = 5617205


Lets's calculate GCF of 688,4999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5617205/1

Therefore the LCM of Fractions 2585/688,2173/4999 is 5617205

Greatest Common Factor of 688,4999 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,4999 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 4999

List of positive integer factors of 4999 that divides 4999 without a remainder.

1,4999

Greatest Common Factor

We found the factors 688,4999 . The biggest common factor number is the GCF number.
So the greatest common factor 688,4999 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 2585/688, 2173/4999

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 2585/688, 2173/4999?

Answer: LCM of Numerators as per given numbers 2585/688, 2173/4999 is

LCM of Numerators i.e. for 2585,2173 is 5617205

GCF of denominators i.e. for 688,4999 is 1.

Thus, LCM of Fractions is 5617205.Finally, LCM of Fractions for 2585/688, 2173/4999 is 5617205.