Least Common Multiple of 73/48, 18/49, 46/44, 69/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/48, 18/49, 46/44, 69/480 quickly i.e. 30222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/48, 18/49, 46/44, 69/480 is 30222.

LCM(73/48, 18/49, 46/44, 69/480) = 30222

LCM of 73/48, 18/49, 46/44, 69/480

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 73/48,18/49,46/44,69/480

Given numbers are 73/48,18/49,46/44,69/480

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 73,18,46,69

Least Common Multiple of Numerators i.e. LCM of 73,18,46,69 is 30222.

GCF of Denominators means GCF of 48,49,44,480 as per the given fractions.

GCF of 48,49,44,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,18,46,69

LCM of Fractions 73/48,18/49,46/44,69/480 is 30222

2 73, 18, 46, 69
3 73, 9, 23, 69
23 73, 3, 23, 23
73, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 73 x 3 x 1 x 1 = 30222

Least Common Multiple of 73,18,46,69 with GCF Formula

Least Common Multiple of 73,18,46,69 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 73,18,46,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,18,46,69) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(73,18,46,69) x common factors =1 x 138 = 138

LCM(73,18,46,69) = ( 73 × 18 × 46 × 69 ) / 138

LCM(73,18,46,69) = 4170636 / 138

LCM(73,18,46,69) = 30222


Lets's calculate GCF of 48,49,44,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30222/1

Therefore the LCM of Fractions 73/48,18/49,46/44,69/480 is 30222

Greatest Common Factor of 48,49,44,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,49,44,480 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 48,49,44,480 . The biggest common factor number is the GCF number.
So the greatest common factor 48,49,44,480 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 73/48, 18/49, 46/44, 69/480

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 73/48, 18/49, 46/44, 69/480?

Answer: LCM of Numerators as per given numbers 73/48, 18/49, 46/44, 69/480 is

LCM of Numerators i.e. for 73,18,46,69 is 30222

GCF of denominators i.e. for 48,49,44,480 is 1.

Thus, LCM of Fractions is 30222.Finally, LCM of Fractions for 73/48, 18/49, 46/44, 69/480 is 30222.