Least Common Multiple of 72/63, 78/51, 45/12, 32/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/63, 78/51, 45/12, 32/251 quickly i.e. 18720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/63, 78/51, 45/12, 32/251 is 18720.

LCM(72/63, 78/51, 45/12, 32/251) = 18720

LCM of 72/63, 78/51, 45/12, 32/251

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 72/63,78/51,45/12,32/251

Given numbers are 72/63,78/51,45/12,32/251

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 72,78,45,32

Least Common Multiple of Numerators i.e. LCM of 72,78,45,32 is 18720.

GCF of Denominators means GCF of 63,51,12,251 as per the given fractions.

GCF of 63,51,12,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,78,45,32

LCM of Fractions 72/63,78/51,45/12,32/251 is 18720

2 72, 78, 45, 32
2 36, 39, 45, 16
2 18, 39, 45, 8
3 9, 39, 45, 4
3 3, 13, 15, 4
1, 13, 5, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 13 x 5 x 4 = 18720

Least Common Multiple of 72,78,45,32 with GCF Formula

Least Common Multiple of 72,78,45,32 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 72,78,45,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,78,45,32) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(72,78,45,32) x common factors =1 x 432 = 432

LCM(72,78,45,32) = ( 72 × 78 × 45 × 32 ) / 432

LCM(72,78,45,32) = 8087040 / 432

LCM(72,78,45,32) = 18720


Lets's calculate GCF of 63,51,12,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18720/1

Therefore the LCM of Fractions 72/63,78/51,45/12,32/251 is 18720

Greatest Common Factor of 63,51,12,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,51,12,251 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 12

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

1,2,3,4,6,12

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 63,51,12,251 . The biggest common factor number is the GCF number.
So the greatest common factor 63,51,12,251 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 72/63, 78/51, 45/12, 32/251

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 72/63, 78/51, 45/12, 32/251?

Answer: LCM of Numerators as per given numbers 72/63, 78/51, 45/12, 32/251 is

LCM of Numerators i.e. for 72,78,45,32 is 18720

GCF of denominators i.e. for 63,51,12,251 is 1.

Thus, LCM of Fractions is 18720.Finally, LCM of Fractions for 72/63, 78/51, 45/12, 32/251 is 18720.