Least Common Multiple of 46/585, 370/712, 731/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/585, 370/712, 731/535 quickly i.e. 6220810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/585, 370/712, 731/535 is 6220810.

LCM(46/585, 370/712, 731/535) = 6220810

LCM of 46/585, 370/712, 731/535

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 46/585,370/712,731/535

Given numbers are 46/585,370/712,731/535

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 46,370,731

Least Common Multiple of Numerators i.e. LCM of 46,370,731 is 6220810.

GCF of Denominators means GCF of 585,712,535 as per the given fractions.

GCF of 585,712,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,370,731

LCM of Fractions 46/585,370/712,731/535 is 6220810

2 46, 370, 731
23, 185, 731

∴ So the LCM of the given numbers is 2 x 23 x 185 x 731 = 6220810

Least Common Multiple of 46,370,731 with GCF Formula

Least Common Multiple of 46,370,731 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 46,370,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,370,731) = 1

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

GCF(46,370,731) x common factors =1 x 2 = 2

LCM(46,370,731) = ( 46 × 370 × 731 ) / 2

LCM(46,370,731) = 12441620 / 2

LCM(46,370,731) = 6220810


Lets's calculate GCF of 585,712,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6220810/1

Therefore the LCM of Fractions 46/585,370/712,731/535 is 6220810

Greatest Common Factor of 585,712,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,712,535 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 585,712,535 . The biggest common factor number is the GCF number.
So the greatest common factor 585,712,535 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/585, 370/712, 731/535

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 46/585, 370/712, 731/535?

Answer: LCM of Numerators as per given numbers 46/585, 370/712, 731/535 is

LCM of Numerators i.e. for 46,370,731 is 6220810

GCF of denominators i.e. for 585,712,535 is 1.

Thus, LCM of Fractions is 6220810.Finally, LCM of Fractions for 46/585, 370/712, 731/535 is 6220810.