Least Common Multiple of 64/586, 75/963, 730/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/586, 75/963, 730/368 quickly i.e. 350400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/586, 75/963, 730/368 is 350400.

LCM(64/586, 75/963, 730/368) = 350400

LCM of 64/586, 75/963, 730/368

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 64/586,75/963,730/368

Given numbers are 64/586,75/963,730/368

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 64,75,730

Least Common Multiple of Numerators i.e. LCM of 64,75,730 is 350400.

GCF of Denominators means GCF of 586,963,368 as per the given fractions.

GCF of 586,963,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,75,730

LCM of Fractions 64/586,75/963,730/368 is 350400

2 64, 75, 730
5 32, 75, 365
32, 15, 73

∴ So the LCM of the given numbers is 2 x 5 x 32 x 15 x 73 = 350400

Least Common Multiple of 64,75,730 with GCF Formula

Least Common Multiple of 64,75,730 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 64,75,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,75,730) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(64,75,730) x common factors =1 x 10 = 10

LCM(64,75,730) = ( 64 × 75 × 730 ) / 10

LCM(64,75,730) = 3504000 / 10

LCM(64,75,730) = 350400


Lets's calculate GCF of 586,963,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350400/1

Therefore the LCM of Fractions 64/586,75/963,730/368 is 350400

Greatest Common Factor of 586,963,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,963,368 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 586,963,368 . The biggest common factor number is the GCF number.
So the greatest common factor 586,963,368 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 64/586, 75/963, 730/368

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 64/586, 75/963, 730/368?

Answer: LCM of Numerators as per given numbers 64/586, 75/963, 730/368 is

LCM of Numerators i.e. for 64,75,730 is 350400

GCF of denominators i.e. for 586,963,368 is 1.

Thus, LCM of Fractions is 350400.Finally, LCM of Fractions for 64/586, 75/963, 730/368 is 350400.