Least Common Multiple of 704/65, 462/43, 744/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/65, 462/43, 744/82 quickly i.e. 458304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/65, 462/43, 744/82 is 458304.

LCM(704/65, 462/43, 744/82) = 458304

LCM of 704/65, 462/43, 744/82

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 704/65,462/43,744/82

Given numbers are 704/65,462/43,744/82

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 704,462,744

Least Common Multiple of Numerators i.e. LCM of 704,462,744 is 458304.

GCF of Denominators means GCF of 65,43,82 as per the given fractions.

GCF of 65,43,82 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,462,744

LCM of Fractions 704/65,462/43,744/82 is 458304

2 704, 462, 744
2 352, 231, 372
2 176, 231, 186
3 88, 231, 93
11 88, 77, 31
8, 7, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 8 x 7 x 31 = 458304

Least Common Multiple of 704,462,744 with GCF Formula

Least Common Multiple of 704,462,744 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 704,462,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,462,744) = 2

common factors(in case of two or more numbers have common factors) = 264

GCF(704,462,744) x common factors =2 x 264 = 528

LCM(704,462,744) = ( 704 × 462 × 744 ) / 528

LCM(704,462,744) = 241984512 / 528

LCM(704,462,744) = 458304


Lets's calculate GCF of 65,43,82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458304/1

Therefore the LCM of Fractions 704/65,462/43,744/82 is 458304

Greatest Common Factor of 65,43,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,43,82 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 65,43,82 . The biggest common factor number is the GCF number.
So the greatest common factor 65,43,82 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 704/65, 462/43, 744/82

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 704/65, 462/43, 744/82?

Answer: LCM of Numerators as per given numbers 704/65, 462/43, 744/82 is

LCM of Numerators i.e. for 704,462,744 is 458304

GCF of denominators i.e. for 65,43,82 is 1.

Thus, LCM of Fractions is 458304.Finally, LCM of Fractions for 704/65, 462/43, 744/82 is 458304.