Least Common Multiple of 6450/200, 2454/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6450/200, 2454/409 quickly i.e. 2638050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6450/200, 2454/409 is 2638050.

LCM(6450/200, 2454/409) = 2638050

LCM of 6450/200, 2454/409

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 6450/200,2454/409

Given numbers are 6450/200,2454/409

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 6450,2454

Least Common Multiple of Numerators i.e. LCM of 6450,2454 is 2638050.

GCF of Denominators means GCF of 200,409 as per the given fractions.

GCF of 200,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6450,2454

LCM of Fractions 6450/200,2454/409 is 2638050

2 6450, 2454
3 3225, 1227
1075, 409

∴ So the LCM of the given numbers is 2 x 3 x 1075 x 409 = 2638050

Least Common Multiple of 6450,2454 with GCF Formula

Least Common Multiple of 6450,2454 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 6450,2454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6450,2454) = 6

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

GCF(6450,2454) x common factors =6 x 1 = 6

LCM(6450,2454) = ( 6450 × 2454 ) / 6

LCM(6450,2454) = 15828300 / 6

LCM(6450,2454) = 2638050


Lets's calculate GCF of 200,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2638050/1

Therefore the LCM of Fractions 6450/200,2454/409 is 2638050

Greatest Common Factor of 200,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,409 By Matching Biggest Common Factor Method

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

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 200,409 . The biggest common factor number is the GCF number.
So the greatest common factor 200,409 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6450/200, 2454/409

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 6450/200, 2454/409?

Answer: LCM of Numerators as per given numbers 6450/200, 2454/409 is

LCM of Numerators i.e. for 6450,2454 is 2638050

GCF of denominators i.e. for 200,409 is 1.

Thus, LCM of Fractions is 2638050.Finally, LCM of Fractions for 6450/200, 2454/409 is 2638050.