Least Common Multiple of 51/63, 59/43, 45/54, 80/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/63, 59/43, 45/54, 80/282 quickly i.e. 722160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/63, 59/43, 45/54, 80/282 is 722160.

LCM(51/63, 59/43, 45/54, 80/282) = 722160

LCM of 51/63, 59/43, 45/54, 80/282

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 51/63,59/43,45/54,80/282

Given numbers are 51/63,59/43,45/54,80/282

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 51,59,45,80

Least Common Multiple of Numerators i.e. LCM of 51,59,45,80 is 722160.

GCF of Denominators means GCF of 63,43,54,282 as per the given fractions.

GCF of 63,43,54,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,59,45,80

LCM of Fractions 51/63,59/43,45/54,80/282 is 722160

3 51, 59, 45, 80
5 17, 59, 15, 80
17, 59, 3, 16

∴ So the LCM of the given numbers is 3 x 5 x 17 x 59 x 3 x 16 = 722160

Least Common Multiple of 51,59,45,80 with GCF Formula

Least Common Multiple of 51,59,45,80 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 51,59,45,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,59,45,80) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(51,59,45,80) x common factors =1 x 15 = 15

LCM(51,59,45,80) = ( 51 × 59 × 45 × 80 ) / 15

LCM(51,59,45,80) = 10832400 / 15

LCM(51,59,45,80) = 722160


Lets's calculate GCF of 63,43,54,282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 722160/1

Therefore the LCM of Fractions 51/63,59/43,45/54,80/282 is 722160

Greatest Common Factor of 63,43,54,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,43,54,282 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 54

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

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

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 63,43,54,282 . The biggest common factor number is the GCF number.
So the greatest common factor 63,43,54,282 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 51/63, 59/43, 45/54, 80/282

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 51/63, 59/43, 45/54, 80/282?

Answer: LCM of Numerators as per given numbers 51/63, 59/43, 45/54, 80/282 is

LCM of Numerators i.e. for 51,59,45,80 is 722160

GCF of denominators i.e. for 63,43,54,282 is 1.

Thus, LCM of Fractions is 722160.Finally, LCM of Fractions for 51/63, 59/43, 45/54, 80/282 is 722160.