Least Common Multiple of 413/512, 9200/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/512, 9200/123 quickly i.e. 3799600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/512, 9200/123 is 3799600.

LCM(413/512, 9200/123) = 3799600

LCM of 413/512, 9200/123

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 413/512,9200/123

Given numbers are 413/512,9200/123

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 413,9200

Least Common Multiple of Numerators i.e. LCM of 413,9200 is 3799600.

GCF of Denominators means GCF of 512,123 as per the given fractions.

GCF of 512,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,9200

LCM of Fractions 413/512,9200/123 is 3799600

Given numbers has no common factors except 1. So, there LCM is their product i.e 3799600

Least Common Multiple of 413,9200 with GCF Formula

Least Common Multiple of 413,9200 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 413,9200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,9200) = 1

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

GCF(413,9200) x common factors =1 x 1 = 1

LCM(413,9200) = ( 413 × 9200 ) / 1

LCM(413,9200) = 3799600 / 1

LCM(413,9200) = 3799600


Lets's calculate GCF of 512,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3799600/1

Therefore the LCM of Fractions 413/512,9200/123 is 3799600

Greatest Common Factor of 512,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,123 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 512,123 . The biggest common factor number is the GCF number.
So the greatest common factor 512,123 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 413/512, 9200/123

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 413/512, 9200/123?

Answer: LCM of Numerators as per given numbers 413/512, 9200/123 is

LCM of Numerators i.e. for 413,9200 is 3799600

GCF of denominators i.e. for 512,123 is 1.

Thus, LCM of Fractions is 3799600.Finally, LCM of Fractions for 413/512, 9200/123 is 3799600.