Least Common Multiple of 5928/160, 4821/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5928/160, 4821/464 quickly i.e. 9526296/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5928/160, 4821/464 is 9526296/16.

LCM(5928/160, 4821/464) = 9526296/16

LCM of 5928/160, 4821/464

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 5928/160,4821/464

Given numbers are 5928/160,4821/464

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 5928,4821

Least Common Multiple of Numerators i.e. LCM of 5928,4821 is 9526296.

GCF of Denominators means GCF of 160,464 as per the given fractions.

GCF of 160,464 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5928,4821

LCM of Fractions 5928/160,4821/464 is 9526296/16

3 5928, 4821
1976, 1607

∴ So the LCM of the given numbers is 3 x 1976 x 1607 = 9526296

Least Common Multiple of 5928,4821 with GCF Formula

Least Common Multiple of 5928,4821 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 5928,4821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5928,4821) = 3

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

GCF(5928,4821) x common factors =3 x 1 = 3

LCM(5928,4821) = ( 5928 × 4821 ) / 3

LCM(5928,4821) = 28578888 / 3

LCM(5928,4821) = 9526296


Lets's calculate GCF of 160,464

2 160, 464
2 80, 232
2 40, 116
2 20, 58
10, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9526296/16

Therefore the LCM of Fractions 5928/160,4821/464 is 9526296/16

Greatest Common Factor of 160,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,464 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 160,464 . The biggest common factor number is the GCF number.
So the greatest common factor 160,464 is 16.


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 5928/160, 4821/464

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 5928/160, 4821/464?

Answer: LCM of Numerators as per given numbers 5928/160, 4821/464 is

LCM of Numerators i.e. for 5928,4821 is 9526296

GCF of denominators i.e. for 160,464 is 16.

Thus, LCM of Fractions is 9526296/16.Finally, LCM of Fractions for 5928/160, 4821/464 is 9526296/16.