Least Common Multiple of 384/704, 610/832, 722/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/704, 610/832, 722/447 quickly i.e. 42280320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/704, 610/832, 722/447 is 42280320.

LCM(384/704, 610/832, 722/447) = 42280320

LCM of 384/704, 610/832, 722/447

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 384/704,610/832,722/447

Given numbers are 384/704,610/832,722/447

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 384,610,722

Least Common Multiple of Numerators i.e. LCM of 384,610,722 is 42280320.

GCF of Denominators means GCF of 704,832,447 as per the given fractions.

GCF of 704,832,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,610,722

LCM of Fractions 384/704,610/832,722/447 is 42280320

2 384, 610, 722
192, 305, 361

∴ So the LCM of the given numbers is 2 x 192 x 305 x 361 = 42280320

Least Common Multiple of 384,610,722 with GCF Formula

Least Common Multiple of 384,610,722 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 384,610,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,610,722) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(384,610,722) x common factors =2 x 2 = 4

LCM(384,610,722) = ( 384 × 610 × 722 ) / 4

LCM(384,610,722) = 169121280 / 4

LCM(384,610,722) = 42280320


Lets's calculate GCF of 704,832,447

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42280320/1

Therefore the LCM of Fractions 384/704,610/832,722/447 is 42280320

Greatest Common Factor of 704,832,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,832,447 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 704,832,447 . The biggest common factor number is the GCF number.
So the greatest common factor 704,832,447 is 1.


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 384/704, 610/832, 722/447

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 384/704, 610/832, 722/447?

Answer: LCM of Numerators as per given numbers 384/704, 610/832, 722/447 is

LCM of Numerators i.e. for 384,610,722 is 42280320

GCF of denominators i.e. for 704,832,447 is 1.

Thus, LCM of Fractions is 42280320.Finally, LCM of Fractions for 384/704, 610/832, 722/447 is 42280320.