Least Common Multiple of 64/476, 5789/7587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/476, 5789/7587 quickly i.e. 370496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/476, 5789/7587 is 370496.

LCM(64/476, 5789/7587) = 370496

LCM of 64/476, 5789/7587

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 64/476,5789/7587

Given numbers are 64/476,5789/7587

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 64,5789

Least Common Multiple of Numerators i.e. LCM of 64,5789 is 370496.

GCF of Denominators means GCF of 476,7587 as per the given fractions.

GCF of 476,7587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,5789

LCM of Fractions 64/476,5789/7587 is 370496

Given numbers has no common factors except 1. So, there LCM is their product i.e 370496

Least Common Multiple of 64,5789 with GCF Formula

Least Common Multiple of 64,5789 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 64,5789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,5789) = 1

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

GCF(64,5789) x common factors =1 x 1 = 1

LCM(64,5789) = ( 64 × 5789 ) / 1

LCM(64,5789) = 370496 / 1

LCM(64,5789) = 370496


Lets's calculate GCF of 476,7587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370496/1

Therefore the LCM of Fractions 64/476,5789/7587 is 370496

Greatest Common Factor of 476,7587 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,7587 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 7587

List of positive integer factors of 7587 that divides 7587 without a remainder.

1,3,9,27,281,843,2529,7587

Greatest Common Factor

We found the factors 476,7587 . The biggest common factor number is the GCF number.
So the greatest common factor 476,7587 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 64/476, 5789/7587

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 64/476, 5789/7587?

Answer: LCM of Numerators as per given numbers 64/476, 5789/7587 is

LCM of Numerators i.e. for 64,5789 is 370496

GCF of denominators i.e. for 476,7587 is 1.

Thus, LCM of Fractions is 370496.Finally, LCM of Fractions for 64/476, 5789/7587 is 370496.