Least Common Multiple of 2165/10, 2499/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2165/10, 2499/200 quickly i.e. 5410335/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2165/10, 2499/200 is 5410335/10.

LCM(2165/10, 2499/200) = 5410335/10

LCM of 2165/10, 2499/200

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 2165/10,2499/200

Given numbers are 2165/10,2499/200

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 2165,2499

Least Common Multiple of Numerators i.e. LCM of 2165,2499 is 5410335.

GCF of Denominators means GCF of 10,200 as per the given fractions.

GCF of 10,200 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2165,2499

LCM of Fractions 2165/10,2499/200 is 5410335/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 5410335

Least Common Multiple of 2165,2499 with GCF Formula

Least Common Multiple of 2165,2499 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 2165,2499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2165,2499) = 1

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

GCF(2165,2499) x common factors =1 x 1 = 1

LCM(2165,2499) = ( 2165 × 2499 ) / 1

LCM(2165,2499) = 5410335 / 1

LCM(2165,2499) = 5410335


Lets's calculate GCF of 10,200

2 10, 200
5 5, 100
1, 20

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5410335/10

Therefore the LCM of Fractions 2165/10,2499/200 is 5410335/10

Greatest Common Factor of 10,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,200 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 10,200 . The biggest common factor number is the GCF number.
So the greatest common factor 10,200 is 10.


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 2165/10, 2499/200

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 2165/10, 2499/200?

Answer: LCM of Numerators as per given numbers 2165/10, 2499/200 is

LCM of Numerators i.e. for 2165,2499 is 5410335

GCF of denominators i.e. for 10,200 is 10.

Thus, LCM of Fractions is 5410335/10.Finally, LCM of Fractions for 2165/10, 2499/200 is 5410335/10.