Least Common Multiple of 664/572, 6743/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/572, 6743/407 quickly i.e. 407032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/572, 6743/407 is 407032.

LCM(664/572, 6743/407) = 407032

LCM of 664/572, 6743/407

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 664/572,6743/407

Given numbers are 664/572,6743/407

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 664,6743

Least Common Multiple of Numerators i.e. LCM of 664,6743 is 4477352.

GCF of Denominators means GCF of 572,407 as per the given fractions.

GCF of 572,407 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,6743

LCM of Fractions 664/572,6743/407 is 407032

Given numbers has no common factors except 1. So, there LCM is their product i.e 4477352

Least Common Multiple of 664,6743 with GCF Formula

Least Common Multiple of 664,6743 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 664,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,6743) = 1

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

GCF(664,6743) x common factors =1 x 1 = 1

LCM(664,6743) = ( 664 × 6743 ) / 1

LCM(664,6743) = 4477352 / 1

LCM(664,6743) = 4477352


Lets's calculate GCF of 572,407

11 572, 407
52, 37

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4477352/11

Therefore the LCM of Fractions 664/572,6743/407 is 407032

Greatest Common Factor of 572,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,407 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 572,407 . The biggest common factor number is the GCF number.
So the greatest common factor 572,407 is 11.


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 664/572, 6743/407

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 664/572, 6743/407?

Answer: LCM of Numerators as per given numbers 664/572, 6743/407 is

LCM of Numerators i.e. for 664,6743 is 4477352

GCF of denominators i.e. for 572,407 is 11.

Thus, LCM of Fractions is 407032.Finally, LCM of Fractions for 664/572, 6743/407 is 407032.