Least Common Multiple of 46/502, 462/540, 229/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/502, 462/540, 229/834 quickly i.e. 1216677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/502, 462/540, 229/834 is 1216677.

LCM(46/502, 462/540, 229/834) = 1216677

LCM of 46/502, 462/540, 229/834

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 46/502,462/540,229/834

Given numbers are 46/502,462/540,229/834

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 46,462,229

Least Common Multiple of Numerators i.e. LCM of 46,462,229 is 2433354.

GCF of Denominators means GCF of 502,540,834 as per the given fractions.

GCF of 502,540,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,462,229

LCM of Fractions 46/502,462/540,229/834 is 1216677

2 46, 462, 229
23, 231, 229

∴ So the LCM of the given numbers is 2 x 23 x 231 x 229 = 2433354

Least Common Multiple of 46,462,229 with GCF Formula

Least Common Multiple of 46,462,229 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 46,462,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,462,229) = 1

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

GCF(46,462,229) x common factors =1 x 2 = 2

LCM(46,462,229) = ( 46 × 462 × 229 ) / 2

LCM(46,462,229) = 4866708 / 2

LCM(46,462,229) = 2433354


Lets's calculate GCF of 502,540,834

2 502, 540, 834
251, 270, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2433354/2

Therefore the LCM of Fractions 46/502,462/540,229/834 is 1216677

Greatest Common Factor of 502,540,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,540,834 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 502,540,834 . The biggest common factor number is the GCF number.
So the greatest common factor 502,540,834 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 46/502, 462/540, 229/834

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 46/502, 462/540, 229/834?

Answer: LCM of Numerators as per given numbers 46/502, 462/540, 229/834 is

LCM of Numerators i.e. for 46,462,229 is 2433354

GCF of denominators i.e. for 502,540,834 is 2.

Thus, LCM of Fractions is 1216677.Finally, LCM of Fractions for 46/502, 462/540, 229/834 is 1216677.