Least Common Multiple of 6607/59, 8064/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6607/59, 8064/590 quickly i.e. 53278848/59 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6607/59, 8064/590 is 53278848/59.

LCM(6607/59, 8064/590) = 53278848/59

LCM of 6607/59, 8064/590

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 6607/59,8064/590

Given numbers are 6607/59,8064/590

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 6607,8064

Least Common Multiple of Numerators i.e. LCM of 6607,8064 is 53278848.

GCF of Denominators means GCF of 59,590 as per the given fractions.

GCF of 59,590 is 59 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6607,8064

LCM of Fractions 6607/59,8064/590 is 53278848/59

Given numbers has no common factors except 1. So, there LCM is their product i.e 53278848

Least Common Multiple of 6607,8064 with GCF Formula

Least Common Multiple of 6607,8064 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 6607,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6607,8064) = 1

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

GCF(6607,8064) x common factors =1 x 1 = 1

LCM(6607,8064) = ( 6607 × 8064 ) / 1

LCM(6607,8064) = 53278848 / 1

LCM(6607,8064) = 53278848


Lets's calculate GCF of 59,590

59 59, 590
1, 10

∴ So the GCF of the given numbers is 59 = 59

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53278848/59

Therefore the LCM of Fractions 6607/59,8064/590 is 53278848/59

Greatest Common Factor of 59,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,590 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 59,590 . The biggest common factor number is the GCF number.
So the greatest common factor 59,590 is 59.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6607/59, 8064/590

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 6607/59, 8064/590?

Answer: LCM of Numerators as per given numbers 6607/59, 8064/590 is

LCM of Numerators i.e. for 6607,8064 is 53278848

GCF of denominators i.e. for 59,590 is 59.

Thus, LCM of Fractions is 53278848/59.Finally, LCM of Fractions for 6607/59, 8064/590 is 53278848/59.