Least Common Multiple of 59/66, 43/13, 578/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/66, 43/13, 578/320 quickly i.e. 1466386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/66, 43/13, 578/320 is 1466386.

LCM(59/66, 43/13, 578/320) = 1466386

LCM of 59/66, 43/13, 578/320

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 59/66,43/13,578/320

Given numbers are 59/66,43/13,578/320

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 59,43,578

Least Common Multiple of Numerators i.e. LCM of 59,43,578 is 1466386.

GCF of Denominators means GCF of 66,13,320 as per the given fractions.

GCF of 66,13,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,43,578

LCM of Fractions 59/66,43/13,578/320 is 1466386

Given numbers has no common factors except 1. So, there LCM is their product i.e 1466386

Least Common Multiple of 59,43,578 with GCF Formula

Least Common Multiple of 59,43,578 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 59,43,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,43,578) = 1

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

GCF(59,43,578) x common factors =1 x 1 = 1

LCM(59,43,578) = ( 59 × 43 × 578 ) / 1

LCM(59,43,578) = 1466386 / 1

LCM(59,43,578) = 1466386


Lets's calculate GCF of 66,13,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1466386/1

Therefore the LCM of Fractions 59/66,43/13,578/320 is 1466386

Greatest Common Factor of 66,13,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,13,320 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 66,13,320 . The biggest common factor number is the GCF number.
So the greatest common factor 66,13,320 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 59/66, 43/13, 578/320

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 59/66, 43/13, 578/320?

Answer: LCM of Numerators as per given numbers 59/66, 43/13, 578/320 is

LCM of Numerators i.e. for 59,43,578 is 1466386

GCF of denominators i.e. for 66,13,320 is 1.

Thus, LCM of Fractions is 1466386.Finally, LCM of Fractions for 59/66, 43/13, 578/320 is 1466386.