Least Common Multiple of 732/96, 438/5820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/96, 438/5820 quickly i.e. 4453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/96, 438/5820 is 4453.

LCM(732/96, 438/5820) = 4453

LCM of 732/96, 438/5820

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 732/96,438/5820

Given numbers are 732/96,438/5820

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 732,438

Least Common Multiple of Numerators i.e. LCM of 732,438 is 53436.

GCF of Denominators means GCF of 96,5820 as per the given fractions.

GCF of 96,5820 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,438

LCM of Fractions 732/96,438/5820 is 4453

2 732, 438
3 366, 219
122, 73

∴ So the LCM of the given numbers is 2 x 3 x 122 x 73 = 53436

Least Common Multiple of 732,438 with GCF Formula

Least Common Multiple of 732,438 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 732,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,438) = 6

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

GCF(732,438) x common factors =6 x 1 = 6

LCM(732,438) = ( 732 × 438 ) / 6

LCM(732,438) = 320616 / 6

LCM(732,438) = 53436


Lets's calculate GCF of 96,5820

2 96, 5820
2 48, 2910
3 24, 1455
8, 485

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53436/12

Therefore the LCM of Fractions 732/96,438/5820 is 4453

Greatest Common Factor of 96,5820 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,5820 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820

Greatest Common Factor

We found the factors 96,5820 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5820 is 12.


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 732/96, 438/5820

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 732/96, 438/5820?

Answer: LCM of Numerators as per given numbers 732/96, 438/5820 is

LCM of Numerators i.e. for 732,438 is 53436

GCF of denominators i.e. for 96,5820 is 12.

Thus, LCM of Fractions is 4453.Finally, LCM of Fractions for 732/96, 438/5820 is 4453.