Least Common Multiple of 586/497, 361/386, 704/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/497, 361/386, 704/474 quickly i.e. 74464192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/497, 361/386, 704/474 is 74464192.

LCM(586/497, 361/386, 704/474) = 74464192

LCM of 586/497, 361/386, 704/474

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 586/497,361/386,704/474

Given numbers are 586/497,361/386,704/474

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 586,361,704

Least Common Multiple of Numerators i.e. LCM of 586,361,704 is 74464192.

GCF of Denominators means GCF of 497,386,474 as per the given fractions.

GCF of 497,386,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,361,704

LCM of Fractions 586/497,361/386,704/474 is 74464192

2 586, 361, 704
293, 361, 352

∴ So the LCM of the given numbers is 2 x 293 x 361 x 352 = 74464192

Least Common Multiple of 586,361,704 with GCF Formula

Least Common Multiple of 586,361,704 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 586,361,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,361,704) = 1

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

GCF(586,361,704) x common factors =1 x 2 = 2

LCM(586,361,704) = ( 586 × 361 × 704 ) / 2

LCM(586,361,704) = 148928384 / 2

LCM(586,361,704) = 74464192


Lets's calculate GCF of 497,386,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74464192/1

Therefore the LCM of Fractions 586/497,361/386,704/474 is 74464192

Greatest Common Factor of 497,386,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,386,474 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 497,386,474 . The biggest common factor number is the GCF number.
So the greatest common factor 497,386,474 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 586/497, 361/386, 704/474

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 586/497, 361/386, 704/474?

Answer: LCM of Numerators as per given numbers 586/497, 361/386, 704/474 is

LCM of Numerators i.e. for 586,361,704 is 74464192

GCF of denominators i.e. for 497,386,474 is 1.

Thus, LCM of Fractions is 74464192.Finally, LCM of Fractions for 586/497, 361/386, 704/474 is 74464192.