LCM Calculator GCF Calculator GCD Calculator LCM of Two or More Numbers Calculator GCF of Two or More Numbers Calculator Factoring Calculator Prime Factorisation Calculator HCF Using Euclid's division lemma Calculator Factor Tree Calculator LCM of Decimals Calculator GCF of Decimals Calculator GCF of Fractions Calculator LCM of Fractions Calculator GCF and LCM Calculator

Finding LCM of Fractions 10/12, 15/24, 18/32, 32/54 Calculator

Utilize the LCM of Fractions Calculator to find the Least Common Multiple of Fractions 10/12, 15/24, 18/32, 32/54 easily i.e. 720 along with step by step procedure.

LCM of 10/12, 15/24, 18/32, 32/54 is 720

LCM(10/12, 15/24, 18/32, 32/54) = 720

Ex: 8/5, 3/5, 2/5 (or) 2/3, 5/7 (or) 3/5, 5/9, 7/3

LCM of

Given Input Data is 10/12,15/24,18/32,32/54

As per the formula LCM of Fractions = LCM of Numerators/GCF of Denominators

LCM of Numerators means (10,15,18,32) in this case as per given inputs

Least Common Multiple of 10,15,18,32 is 1440 the smallest number that is divisible by the numbers

GCF of Denominators means (12,24,32,54) in this case as per given inputs

Greatest Common Factor of 12,24,32,54 is 2 the largest number by which both the numbers can be divided

Lets's calculate LCM of 10,15,18,32

Finding LCM of 10,15,18,32 by Common Division

Arrange the Inputs 10,15,18,32 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

2 10, 15, 18, 32
3 5, 15, 9, 16
5 5, 5, 3, 16
1, 1, 3, 16

As all the numbers left in the last row are co primes you need not do the common division process further.

To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 3 x 5 x 1 x 1 x 3 x 16 = 1440

Therefore, LCM of 10,15,18,32 is 1440

Least Common Multiple of 10,15,18,32 with GCF Formula

Finding LCM of 10,15,18,32 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(10, 15) = 5

LCM(10, 15) = ( 10 x 15 ) / 5

LCM(10, 15) = 150 / 5

LCM(10, 15) = 30


Step2:

Here we consider the LCM from the above i.e. 30 as first number and the next as 18

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(30, 18) = 6

LCM(30, 18) = ( 30 x 18 ) / 6

LCM(30, 18) = 540 / 6

LCM(30, 18) = 90


Step3:

Here we consider the LCM from the above i.e. 90 as first number and the next as 32

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(90, 32) = 2

LCM(90, 32) = ( 90 x 32 ) / 2

LCM(90, 32) = 2880 / 2

LCM(90, 32) = 1440

LCM of 10,15,18,32 is 1440


Lets's calculate GCF of 12,24,32,54

Greatest Common Factor (GCF) of 12,24,32,54 By Common Division

2 12, 24, 32, 54
6, 12, 16, 27

∴ So the GCF of the given numbers is 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/2

Therefore the LCM of Fractions 10/12,15/24,18/32,32/54 is 720

Greatest Common Factor of 12,24,32,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,24,32,54 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 12,24,32,54 . The biggest common factor number is the GCF number.
So the greatest common factor 12,24,32,54 is 2.


LCM of Fractions Calculation Examples

Frequently Asked Questions on LCM of Fractions 10/12, 15/24, 18/32, 32/54

1. What is the LCM of Fractions 10/12, 15/24, 18/32, 32/54?

LCM of Fractions 10/12, 15/24, 18/32, 32/54 is 720.


2. How to find LCM of Fractions 10/12, 15/24, 18/32, 32/54?

You can find the LCM of Fractions 10/12, 15/24, 18/32, 32/54 by dividing the LCM of Numerators (10,15,18,32) with GCF of Denominators(12,24,32,54).


3. Where do I get a detailed procedure for finding the LCM of Fractions 10/12, 15/24, 18/32, 32/54?

You can get a detailed procedure for finding the LCM of Fractions 10/12, 15/24, 18/32, 32/54 on our page.