Least Common Multiple of 500/386, 843/411, 490/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/386, 843/411, 490/732 quickly i.e. 20653500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/386, 843/411, 490/732 is 20653500.

LCM(500/386, 843/411, 490/732) = 20653500

LCM of 500/386, 843/411, 490/732

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 500/386,843/411,490/732

Given numbers are 500/386,843/411,490/732

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 500,843,490

Least Common Multiple of Numerators i.e. LCM of 500,843,490 is 20653500.

GCF of Denominators means GCF of 386,411,732 as per the given fractions.

GCF of 386,411,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,843,490

LCM of Fractions 500/386,843/411,490/732 is 20653500

2 500, 843, 490
5 250, 843, 245
50, 843, 49

∴ So the LCM of the given numbers is 2 x 5 x 50 x 843 x 49 = 20653500

Least Common Multiple of 500,843,490 with GCF Formula

Least Common Multiple of 500,843,490 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 500,843,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,843,490) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(500,843,490) x common factors =1 x 10 = 10

LCM(500,843,490) = ( 500 × 843 × 490 ) / 10

LCM(500,843,490) = 206535000 / 10

LCM(500,843,490) = 20653500


Lets's calculate GCF of 386,411,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20653500/1

Therefore the LCM of Fractions 500/386,843/411,490/732 is 20653500

Greatest Common Factor of 386,411,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,411,732 By Matching Biggest Common Factor Method

Factors of 386

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

1,2,193,386

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 386,411,732 . The biggest common factor number is the GCF number.
So the greatest common factor 386,411,732 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 500/386, 843/411, 490/732

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 500/386, 843/411, 490/732?

Answer: LCM of Numerators as per given numbers 500/386, 843/411, 490/732 is

LCM of Numerators i.e. for 500,843,490 is 20653500

GCF of denominators i.e. for 386,411,732 is 1.

Thus, LCM of Fractions is 20653500.Finally, LCM of Fractions for 500/386, 843/411, 490/732 is 20653500.