Least Common Multiple of 24/55, 28/88, 89/79, 32/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/55, 28/88, 89/79, 32/569 quickly i.e. 59808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/55, 28/88, 89/79, 32/569 is 59808.

LCM(24/55, 28/88, 89/79, 32/569) = 59808

LCM of 24/55, 28/88, 89/79, 32/569

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 24/55,28/88,89/79,32/569

Given numbers are 24/55,28/88,89/79,32/569

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 24,28,89,32

Least Common Multiple of Numerators i.e. LCM of 24,28,89,32 is 59808.

GCF of Denominators means GCF of 55,88,79,569 as per the given fractions.

GCF of 55,88,79,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,28,89,32

LCM of Fractions 24/55,28/88,89/79,32/569 is 59808

2 24, 28, 89, 32
2 12, 14, 89, 16
2 6, 7, 89, 8
3, 7, 89, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 89 x 4 = 59808

Least Common Multiple of 24,28,89,32 with GCF Formula

Least Common Multiple of 24,28,89,32 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 24,28,89,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,28,89,32) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(24,28,89,32) x common factors =1 x 32 = 32

LCM(24,28,89,32) = ( 24 × 28 × 89 × 32 ) / 32

LCM(24,28,89,32) = 1913856 / 32

LCM(24,28,89,32) = 59808


Lets's calculate GCF of 55,88,79,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59808/1

Therefore the LCM of Fractions 24/55,28/88,89/79,32/569 is 59808

Greatest Common Factor of 55,88,79,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,88,79,569 By Matching Biggest Common Factor Method

Factors of 55

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

1,5,11,55

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 55,88,79,569 . The biggest common factor number is the GCF number.
So the greatest common factor 55,88,79,569 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 24/55, 28/88, 89/79, 32/569

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 24/55, 28/88, 89/79, 32/569?

Answer: LCM of Numerators as per given numbers 24/55, 28/88, 89/79, 32/569 is

LCM of Numerators i.e. for 24,28,89,32 is 59808

GCF of denominators i.e. for 55,88,79,569 is 1.

Thus, LCM of Fractions is 59808.Finally, LCM of Fractions for 24/55, 28/88, 89/79, 32/569 is 59808.