Least Common Multiple of 465/30, 804/4800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/30, 804/4800 quickly i.e. 4154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/30, 804/4800 is 4154.

LCM(465/30, 804/4800) = 4154

LCM of 465/30, 804/4800

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 465/30,804/4800

Given numbers are 465/30,804/4800

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 465,804

Least Common Multiple of Numerators i.e. LCM of 465,804 is 124620.

GCF of Denominators means GCF of 30,4800 as per the given fractions.

GCF of 30,4800 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,804

LCM of Fractions 465/30,804/4800 is 4154

3 465, 804
155, 268

∴ So the LCM of the given numbers is 3 x 155 x 268 = 124620

Least Common Multiple of 465,804 with GCF Formula

Least Common Multiple of 465,804 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 465,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,804) = 3

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

GCF(465,804) x common factors =3 x 1 = 3

LCM(465,804) = ( 465 × 804 ) / 3

LCM(465,804) = 373860 / 3

LCM(465,804) = 124620


Lets's calculate GCF of 30,4800

2 30, 4800
3 15, 2400
5 5, 800
1, 160

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124620/30

Therefore the LCM of Fractions 465/30,804/4800 is 4154

Greatest Common Factor of 30,4800 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,4800 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800

Greatest Common Factor

We found the factors 30,4800 . The biggest common factor number is the GCF number.
So the greatest common factor 30,4800 is 30.


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 465/30, 804/4800

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 465/30, 804/4800?

Answer: LCM of Numerators as per given numbers 465/30, 804/4800 is

LCM of Numerators i.e. for 465,804 is 124620

GCF of denominators i.e. for 30,4800 is 30.

Thus, LCM of Fractions is 4154.Finally, LCM of Fractions for 465/30, 804/4800 is 4154.