Least Common Multiple of 4614/384, 2408/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4614/384, 2408/804 quickly i.e. 462938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4614/384, 2408/804 is 462938.

LCM(4614/384, 2408/804) = 462938

LCM of 4614/384, 2408/804

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 4614/384,2408/804

Given numbers are 4614/384,2408/804

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 4614,2408

Least Common Multiple of Numerators i.e. LCM of 4614,2408 is 5555256.

GCF of Denominators means GCF of 384,804 as per the given fractions.

GCF of 384,804 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4614,2408

LCM of Fractions 4614/384,2408/804 is 462938

2 4614, 2408
2307, 1204

∴ So the LCM of the given numbers is 2 x 2307 x 1204 = 5555256

Least Common Multiple of 4614,2408 with GCF Formula

Least Common Multiple of 4614,2408 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 4614,2408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4614,2408) = 2

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

GCF(4614,2408) x common factors =2 x 1 = 2

LCM(4614,2408) = ( 4614 × 2408 ) / 2

LCM(4614,2408) = 11110512 / 2

LCM(4614,2408) = 5555256


Lets's calculate GCF of 384,804

2 384, 804
2 192, 402
3 96, 201
32, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5555256/12

Therefore the LCM of Fractions 4614/384,2408/804 is 462938

Greatest Common Factor of 384,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,804 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 384,804 . The biggest common factor number is the GCF number.
So the greatest common factor 384,804 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 4614/384, 2408/804

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 4614/384, 2408/804?

Answer: LCM of Numerators as per given numbers 4614/384, 2408/804 is

LCM of Numerators i.e. for 4614,2408 is 5555256

GCF of denominators i.e. for 384,804 is 12.

Thus, LCM of Fractions is 462938.Finally, LCM of Fractions for 4614/384, 2408/804 is 462938.