Least Common Multiple of 47/327, 59/462, 621/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/327, 59/462, 621/475 quickly i.e. 1722033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/327, 59/462, 621/475 is 1722033.

LCM(47/327, 59/462, 621/475) = 1722033

LCM of 47/327, 59/462, 621/475

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 47/327,59/462,621/475

Given numbers are 47/327,59/462,621/475

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 47,59,621

Least Common Multiple of Numerators i.e. LCM of 47,59,621 is 1722033.

GCF of Denominators means GCF of 327,462,475 as per the given fractions.

GCF of 327,462,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,59,621

LCM of Fractions 47/327,59/462,621/475 is 1722033

Given numbers has no common factors except 1. So, there LCM is their product i.e 1722033

Least Common Multiple of 47,59,621 with GCF Formula

Least Common Multiple of 47,59,621 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 47,59,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,59,621) = 1

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

GCF(47,59,621) x common factors =1 x 1 = 1

LCM(47,59,621) = ( 47 × 59 × 621 ) / 1

LCM(47,59,621) = 1722033 / 1

LCM(47,59,621) = 1722033


Lets's calculate GCF of 327,462,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1722033/1

Therefore the LCM of Fractions 47/327,59/462,621/475 is 1722033

Greatest Common Factor of 327,462,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,462,475 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 327,462,475 . The biggest common factor number is the GCF number.
So the greatest common factor 327,462,475 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 47/327, 59/462, 621/475

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 47/327, 59/462, 621/475?

Answer: LCM of Numerators as per given numbers 47/327, 59/462, 621/475 is

LCM of Numerators i.e. for 47,59,621 is 1722033

GCF of denominators i.e. for 327,462,475 is 1.

Thus, LCM of Fractions is 1722033.Finally, LCM of Fractions for 47/327, 59/462, 621/475 is 1722033.