Least Common Multiple of 4728/28, 1911/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4728/28, 1911/464 quickly i.e. 752934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4728/28, 1911/464 is 752934.

LCM(4728/28, 1911/464) = 752934

LCM of 4728/28, 1911/464

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 4728/28,1911/464

Given numbers are 4728/28,1911/464

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 4728,1911

Least Common Multiple of Numerators i.e. LCM of 4728,1911 is 3011736.

GCF of Denominators means GCF of 28,464 as per the given fractions.

GCF of 28,464 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4728,1911

LCM of Fractions 4728/28,1911/464 is 752934

3 4728, 1911
1576, 637

∴ So the LCM of the given numbers is 3 x 1576 x 637 = 3011736

Least Common Multiple of 4728,1911 with GCF Formula

Least Common Multiple of 4728,1911 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 4728,1911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4728,1911) = 3

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

GCF(4728,1911) x common factors =3 x 1 = 3

LCM(4728,1911) = ( 4728 × 1911 ) / 3

LCM(4728,1911) = 9035208 / 3

LCM(4728,1911) = 3011736


Lets's calculate GCF of 28,464

2 28, 464
2 14, 232
7, 116

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3011736/4

Therefore the LCM of Fractions 4728/28,1911/464 is 752934

Greatest Common Factor of 28,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,464 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 28,464 . The biggest common factor number is the GCF number.
So the greatest common factor 28,464 is 4.


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 4728/28, 1911/464

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 4728/28, 1911/464?

Answer: LCM of Numerators as per given numbers 4728/28, 1911/464 is

LCM of Numerators i.e. for 4728,1911 is 3011736

GCF of denominators i.e. for 28,464 is 4.

Thus, LCM of Fractions is 752934.Finally, LCM of Fractions for 4728/28, 1911/464 is 752934.