Least Common Multiple of 19/486, 66/900, 476/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/486, 66/900, 476/705 quickly i.e. 99484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/486, 66/900, 476/705 is 99484.

LCM(19/486, 66/900, 476/705) = 99484

LCM of 19/486, 66/900, 476/705

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 19/486,66/900,476/705

Given numbers are 19/486,66/900,476/705

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 19,66,476

Least Common Multiple of Numerators i.e. LCM of 19,66,476 is 298452.

GCF of Denominators means GCF of 486,900,705 as per the given fractions.

GCF of 486,900,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,66,476

LCM of Fractions 19/486,66/900,476/705 is 99484

2 19, 66, 476
19, 33, 238

∴ So the LCM of the given numbers is 2 x 19 x 33 x 238 = 298452

Least Common Multiple of 19,66,476 with GCF Formula

Least Common Multiple of 19,66,476 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 19,66,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,66,476) = 1

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

GCF(19,66,476) x common factors =1 x 2 = 2

LCM(19,66,476) = ( 19 × 66 × 476 ) / 2

LCM(19,66,476) = 596904 / 2

LCM(19,66,476) = 298452


Lets's calculate GCF of 486,900,705

3 486, 900, 705
162, 300, 235

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298452/3

Therefore the LCM of Fractions 19/486,66/900,476/705 is 99484

Greatest Common Factor of 486,900,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,900,705 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 486,900,705 . The biggest common factor number is the GCF number.
So the greatest common factor 486,900,705 is 3.


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 19/486, 66/900, 476/705

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 19/486, 66/900, 476/705?

Answer: LCM of Numerators as per given numbers 19/486, 66/900, 476/705 is

LCM of Numerators i.e. for 19,66,476 is 298452

GCF of denominators i.e. for 486,900,705 is 3.

Thus, LCM of Fractions is 99484.Finally, LCM of Fractions for 19/486, 66/900, 476/705 is 99484.