Least Common Multiple of 46/490, 93/246, 613/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/490, 93/246, 613/592 quickly i.e. 1311207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/490, 93/246, 613/592 is 1311207.

LCM(46/490, 93/246, 613/592) = 1311207

LCM of 46/490, 93/246, 613/592

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 46/490,93/246,613/592

Given numbers are 46/490,93/246,613/592

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 46,93,613

Least Common Multiple of Numerators i.e. LCM of 46,93,613 is 2622414.

GCF of Denominators means GCF of 490,246,592 as per the given fractions.

GCF of 490,246,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,93,613

LCM of Fractions 46/490,93/246,613/592 is 1311207

Given numbers has no common factors except 1. So, there LCM is their product i.e 2622414

Least Common Multiple of 46,93,613 with GCF Formula

Least Common Multiple of 46,93,613 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 46,93,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,93,613) = 1

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

GCF(46,93,613) x common factors =1 x 1 = 1

LCM(46,93,613) = ( 46 × 93 × 613 ) / 1

LCM(46,93,613) = 2622414 / 1

LCM(46,93,613) = 2622414


Lets's calculate GCF of 490,246,592

2 490, 246, 592
245, 123, 296

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2622414/2

Therefore the LCM of Fractions 46/490,93/246,613/592 is 1311207

Greatest Common Factor of 490,246,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,246,592 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 490,246,592 . The biggest common factor number is the GCF number.
So the greatest common factor 490,246,592 is 2.


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 46/490, 93/246, 613/592

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 46/490, 93/246, 613/592?

Answer: LCM of Numerators as per given numbers 46/490, 93/246, 613/592 is

LCM of Numerators i.e. for 46,93,613 is 2622414

GCF of denominators i.e. for 490,246,592 is 2.

Thus, LCM of Fractions is 1311207.Finally, LCM of Fractions for 46/490, 93/246, 613/592 is 1311207.