Least Common Multiple of 74/408, 5225/6323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/408, 5225/6323 quickly i.e. 386650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/408, 5225/6323 is 386650.

LCM(74/408, 5225/6323) = 386650

LCM of 74/408, 5225/6323

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 74/408,5225/6323

Given numbers are 74/408,5225/6323

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 74,5225

Least Common Multiple of Numerators i.e. LCM of 74,5225 is 386650.

GCF of Denominators means GCF of 408,6323 as per the given fractions.

GCF of 408,6323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,5225

LCM of Fractions 74/408,5225/6323 is 386650

Given numbers has no common factors except 1. So, there LCM is their product i.e 386650

Least Common Multiple of 74,5225 with GCF Formula

Least Common Multiple of 74,5225 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 74,5225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5225) = 1

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

GCF(74,5225) x common factors =1 x 1 = 1

LCM(74,5225) = ( 74 × 5225 ) / 1

LCM(74,5225) = 386650 / 1

LCM(74,5225) = 386650


Lets's calculate GCF of 408,6323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386650/1

Therefore the LCM of Fractions 74/408,5225/6323 is 386650

Greatest Common Factor of 408,6323 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,6323 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 6323

List of positive integer factors of 6323 that divides 6323 without a remainder.

1,6323

Greatest Common Factor

We found the factors 408,6323 . The biggest common factor number is the GCF number.
So the greatest common factor 408,6323 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 74/408, 5225/6323

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 74/408, 5225/6323?

Answer: LCM of Numerators as per given numbers 74/408, 5225/6323 is

LCM of Numerators i.e. for 74,5225 is 386650

GCF of denominators i.e. for 408,6323 is 1.

Thus, LCM of Fractions is 386650.Finally, LCM of Fractions for 74/408, 5225/6323 is 386650.