Least Common Multiple of 88/25, 12/80, 66/44, 596/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/25, 12/80, 66/44, 596/54 quickly i.e. 39336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/25, 12/80, 66/44, 596/54 is 39336.

LCM(88/25, 12/80, 66/44, 596/54) = 39336

LCM of 88/25, 12/80, 66/44, 596/54

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 88/25,12/80,66/44,596/54

Given numbers are 88/25,12/80,66/44,596/54

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 88,12,66,596

Least Common Multiple of Numerators i.e. LCM of 88,12,66,596 is 39336.

GCF of Denominators means GCF of 25,80,44,54 as per the given fractions.

GCF of 25,80,44,54 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,12,66,596

LCM of Fractions 88/25,12/80,66/44,596/54 is 39336

2 88, 12, 66, 596
2 44, 6, 33, 298
3 22, 3, 33, 149
11 22, 1, 11, 149
2, 1, 1, 149

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 2 x 1 x 1 x 149 = 39336

Least Common Multiple of 88,12,66,596 with GCF Formula

Least Common Multiple of 88,12,66,596 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 88,12,66,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,12,66,596) = 2

common factors(in case of two or more numbers have common factors) = 528

GCF(88,12,66,596) x common factors =2 x 528 = 1056

LCM(88,12,66,596) = ( 88 × 12 × 66 × 596 ) / 1056

LCM(88,12,66,596) = 41538816 / 1056

LCM(88,12,66,596) = 39336


Lets's calculate GCF of 25,80,44,54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39336/1

Therefore the LCM of Fractions 88/25,12/80,66/44,596/54 is 39336

Greatest Common Factor of 25,80,44,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,80,44,54 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 25,80,44,54 . The biggest common factor number is the GCF number.
So the greatest common factor 25,80,44,54 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 88/25, 12/80, 66/44, 596/54

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 88/25, 12/80, 66/44, 596/54?

Answer: LCM of Numerators as per given numbers 88/25, 12/80, 66/44, 596/54 is

LCM of Numerators i.e. for 88,12,66,596 is 39336

GCF of denominators i.e. for 25,80,44,54 is 1.

Thus, LCM of Fractions is 39336.Finally, LCM of Fractions for 88/25, 12/80, 66/44, 596/54 is 39336.