Least Common Multiple of 63/60, 79/64, 31/50, 56/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/60, 79/64, 31/50, 56/288 quickly i.e. 617148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/60, 79/64, 31/50, 56/288 is 617148.

LCM(63/60, 79/64, 31/50, 56/288) = 617148

LCM of 63/60, 79/64, 31/50, 56/288

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 63/60,79/64,31/50,56/288

Given numbers are 63/60,79/64,31/50,56/288

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 63,79,31,56

Least Common Multiple of Numerators i.e. LCM of 63,79,31,56 is 1234296.

GCF of Denominators means GCF of 60,64,50,288 as per the given fractions.

GCF of 60,64,50,288 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,79,31,56

LCM of Fractions 63/60,79/64,31/50,56/288 is 617148

7 63, 79, 31, 56
9, 79, 31, 8

∴ So the LCM of the given numbers is 7 x 9 x 79 x 31 x 8 = 1234296

Least Common Multiple of 63,79,31,56 with GCF Formula

Least Common Multiple of 63,79,31,56 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 63,79,31,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,79,31,56) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(63,79,31,56) x common factors =1 x 7 = 7

LCM(63,79,31,56) = ( 63 × 79 × 31 × 56 ) / 7

LCM(63,79,31,56) = 8640072 / 7

LCM(63,79,31,56) = 1234296


Lets's calculate GCF of 60,64,50,288

2 60, 64, 50, 288
30, 32, 25, 144

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1234296/2

Therefore the LCM of Fractions 63/60,79/64,31/50,56/288 is 617148

Greatest Common Factor of 60,64,50,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,64,50,288 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 50

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

1,2,5,10,25,50

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 60,64,50,288 . The biggest common factor number is the GCF number.
So the greatest common factor 60,64,50,288 is 2.


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 63/60, 79/64, 31/50, 56/288

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 63/60, 79/64, 31/50, 56/288?

Answer: LCM of Numerators as per given numbers 63/60, 79/64, 31/50, 56/288 is

LCM of Numerators i.e. for 63,79,31,56 is 1234296

GCF of denominators i.e. for 60,64,50,288 is 2.

Thus, LCM of Fractions is 617148.Finally, LCM of Fractions for 63/60, 79/64, 31/50, 56/288 is 617148.