Least Common Multiple of 73/24, 63/76, 47/12, 320/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/24, 63/76, 47/12, 320/22 quickly i.e. 34584480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/24, 63/76, 47/12, 320/22 is 34584480.

LCM(73/24, 63/76, 47/12, 320/22) = 34584480

LCM of 73/24, 63/76, 47/12, 320/22

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 73/24,63/76,47/12,320/22

Given numbers are 73/24,63/76,47/12,320/22

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 73,63,47,320

Least Common Multiple of Numerators i.e. LCM of 73,63,47,320 is 69168960.

GCF of Denominators means GCF of 24,76,12,22 as per the given fractions.

GCF of 24,76,12,22 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,63,47,320

LCM of Fractions 73/24,63/76,47/12,320/22 is 34584480

Given numbers has no common factors except 1. So, there LCM is their product i.e 69168960

Least Common Multiple of 73,63,47,320 with GCF Formula

Least Common Multiple of 73,63,47,320 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 73,63,47,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,63,47,320) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,63,47,320) x common factors =1 x 1 = 1

LCM(73,63,47,320) = ( 73 × 63 × 47 × 320 ) / 1

LCM(73,63,47,320) = 69168960 / 1

LCM(73,63,47,320) = 69168960


Lets's calculate GCF of 24,76,12,22

2 24, 76, 12, 22
12, 38, 6, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69168960/2

Therefore the LCM of Fractions 73/24,63/76,47/12,320/22 is 34584480

Greatest Common Factor of 24,76,12,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,76,12,22 By Matching Biggest Common Factor Method

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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 12

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

1,2,3,4,6,12

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 24,76,12,22 . The biggest common factor number is the GCF number.
So the greatest common factor 24,76,12,22 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 73/24, 63/76, 47/12, 320/22

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 73/24, 63/76, 47/12, 320/22?

Answer: LCM of Numerators as per given numbers 73/24, 63/76, 47/12, 320/22 is

LCM of Numerators i.e. for 73,63,47,320 is 69168960

GCF of denominators i.e. for 24,76,12,22 is 2.

Thus, LCM of Fractions is 34584480.Finally, LCM of Fractions for 73/24, 63/76, 47/12, 320/22 is 34584480.