Least Common Multiple of 64/59, 44/55, 66/22, 26/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/59, 44/55, 66/22, 26/588 quickly i.e. 27456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/59, 44/55, 66/22, 26/588 is 27456.

LCM(64/59, 44/55, 66/22, 26/588) = 27456

LCM of 64/59, 44/55, 66/22, 26/588

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 64/59,44/55,66/22,26/588

Given numbers are 64/59,44/55,66/22,26/588

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 64,44,66,26

Least Common Multiple of Numerators i.e. LCM of 64,44,66,26 is 27456.

GCF of Denominators means GCF of 59,55,22,588 as per the given fractions.

GCF of 59,55,22,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,44,66,26

LCM of Fractions 64/59,44/55,66/22,26/588 is 27456

2 64, 44, 66, 26
2 32, 22, 33, 13
11 16, 11, 33, 13
16, 1, 3, 13

∴ So the LCM of the given numbers is 2 x 2 x 11 x 16 x 1 x 3 x 13 = 27456

Least Common Multiple of 64,44,66,26 with GCF Formula

Least Common Multiple of 64,44,66,26 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 64,44,66,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,44,66,26) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(64,44,66,26) x common factors =2 x 88 = 176

LCM(64,44,66,26) = ( 64 × 44 × 66 × 26 ) / 176

LCM(64,44,66,26) = 4832256 / 176

LCM(64,44,66,26) = 27456


Lets's calculate GCF of 59,55,22,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27456/1

Therefore the LCM of Fractions 64/59,44/55,66/22,26/588 is 27456

Greatest Common Factor of 59,55,22,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,55,22,588 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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 59,55,22,588 . The biggest common factor number is the GCF number.
So the greatest common factor 59,55,22,588 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 64/59, 44/55, 66/22, 26/588

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 64/59, 44/55, 66/22, 26/588?

Answer: LCM of Numerators as per given numbers 64/59, 44/55, 66/22, 26/588 is

LCM of Numerators i.e. for 64,44,66,26 is 27456

GCF of denominators i.e. for 59,55,22,588 is 1.

Thus, LCM of Fractions is 27456.Finally, LCM of Fractions for 64/59, 44/55, 66/22, 26/588 is 27456.