Least Common Multiple of 60/50, 144/28, 512/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/50, 144/28, 512/431 quickly i.e. 23040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/50, 144/28, 512/431 is 23040.

LCM(60/50, 144/28, 512/431) = 23040

LCM of 60/50, 144/28, 512/431

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 60/50,144/28,512/431

Given numbers are 60/50,144/28,512/431

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 60,144,512

Least Common Multiple of Numerators i.e. LCM of 60,144,512 is 23040.

GCF of Denominators means GCF of 50,28,431 as per the given fractions.

GCF of 50,28,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,144,512

LCM of Fractions 60/50,144/28,512/431 is 23040

2 60, 144, 512
2 30, 72, 256
2 15, 36, 128
2 15, 18, 64
3 15, 9, 32
5, 3, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 3 x 32 = 23040

Least Common Multiple of 60,144,512 with GCF Formula

Least Common Multiple of 60,144,512 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 60,144,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,144,512) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(60,144,512) x common factors =4 x 48 = 192

LCM(60,144,512) = ( 60 × 144 × 512 ) / 192

LCM(60,144,512) = 4423680 / 192

LCM(60,144,512) = 23040


Lets's calculate GCF of 50,28,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23040/1

Therefore the LCM of Fractions 60/50,144/28,512/431 is 23040

Greatest Common Factor of 50,28,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,28,431 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 50,28,431 . The biggest common factor number is the GCF number.
So the greatest common factor 50,28,431 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 60/50, 144/28, 512/431

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 60/50, 144/28, 512/431?

Answer: LCM of Numerators as per given numbers 60/50, 144/28, 512/431 is

LCM of Numerators i.e. for 60,144,512 is 23040

GCF of denominators i.e. for 50,28,431 is 1.

Thus, LCM of Fractions is 23040.Finally, LCM of Fractions for 60/50, 144/28, 512/431 is 23040.