Least Common Multiple of 38/490, 800/513, 291/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/490, 800/513, 291/834 quickly i.e. 4423200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/490, 800/513, 291/834 is 4423200.

LCM(38/490, 800/513, 291/834) = 4423200

LCM of 38/490, 800/513, 291/834

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 38/490,800/513,291/834

Given numbers are 38/490,800/513,291/834

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 38,800,291

Least Common Multiple of Numerators i.e. LCM of 38,800,291 is 4423200.

GCF of Denominators means GCF of 490,513,834 as per the given fractions.

GCF of 490,513,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,800,291

LCM of Fractions 38/490,800/513,291/834 is 4423200

2 38, 800, 291
19, 400, 291

∴ So the LCM of the given numbers is 2 x 19 x 400 x 291 = 4423200

Least Common Multiple of 38,800,291 with GCF Formula

Least Common Multiple of 38,800,291 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 38,800,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,800,291) = 1

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

GCF(38,800,291) x common factors =1 x 2 = 2

LCM(38,800,291) = ( 38 × 800 × 291 ) / 2

LCM(38,800,291) = 8846400 / 2

LCM(38,800,291) = 4423200


Lets's calculate GCF of 490,513,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4423200/1

Therefore the LCM of Fractions 38/490,800/513,291/834 is 4423200

Greatest Common Factor of 490,513,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,513,834 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 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

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 490,513,834 . The biggest common factor number is the GCF number.
So the greatest common factor 490,513,834 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 38/490, 800/513, 291/834

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 38/490, 800/513, 291/834?

Answer: LCM of Numerators as per given numbers 38/490, 800/513, 291/834 is

LCM of Numerators i.e. for 38,800,291 is 4423200

GCF of denominators i.e. for 490,513,834 is 1.

Thus, LCM of Fractions is 4423200.Finally, LCM of Fractions for 38/490, 800/513, 291/834 is 4423200.