Least Common Multiple of 47/47, 16/650, 404/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/47, 16/650, 404/324 quickly i.e. 75952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/47, 16/650, 404/324 is 75952.

LCM(47/47, 16/650, 404/324) = 75952

LCM of 47/47, 16/650, 404/324

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 47/47,16/650,404/324

Given numbers are 47/47,16/650,404/324

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 47,16,404

Least Common Multiple of Numerators i.e. LCM of 47,16,404 is 75952.

GCF of Denominators means GCF of 47,650,324 as per the given fractions.

GCF of 47,650,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,16,404

LCM of Fractions 47/47,16/650,404/324 is 75952

2 47, 16, 404
2 47, 8, 202
47, 4, 101

∴ So the LCM of the given numbers is 2 x 2 x 47 x 4 x 101 = 75952

Least Common Multiple of 47,16,404 with GCF Formula

Least Common Multiple of 47,16,404 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 47,16,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,16,404) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,16,404) x common factors =1 x 4 = 4

LCM(47,16,404) = ( 47 × 16 × 404 ) / 4

LCM(47,16,404) = 303808 / 4

LCM(47,16,404) = 75952


Lets's calculate GCF of 47,650,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75952/1

Therefore the LCM of Fractions 47/47,16/650,404/324 is 75952

Greatest Common Factor of 47,650,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,650,324 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 47,650,324 . The biggest common factor number is the GCF number.
So the greatest common factor 47,650,324 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/47, 16/650, 404/324

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 47/47, 16/650, 404/324?

Answer: LCM of Numerators as per given numbers 47/47, 16/650, 404/324 is

LCM of Numerators i.e. for 47,16,404 is 75952

GCF of denominators i.e. for 47,650,324 is 1.

Thus, LCM of Fractions is 75952.Finally, LCM of Fractions for 47/47, 16/650, 404/324 is 75952.