Least Common Multiple of 47/44, 33/40, 44/64, 83/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/44, 33/40, 44/64, 83/307 quickly i.e. 514932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/44, 33/40, 44/64, 83/307 is 514932.

LCM(47/44, 33/40, 44/64, 83/307) = 514932

LCM of 47/44, 33/40, 44/64, 83/307

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 47/44,33/40,44/64,83/307

Given numbers are 47/44,33/40,44/64,83/307

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 47,33,44,83

Least Common Multiple of Numerators i.e. LCM of 47,33,44,83 is 514932.

GCF of Denominators means GCF of 44,40,64,307 as per the given fractions.

GCF of 44,40,64,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,33,44,83

LCM of Fractions 47/44,33/40,44/64,83/307 is 514932

11 47, 33, 44, 83
47, 3, 4, 83

∴ So the LCM of the given numbers is 11 x 47 x 3 x 4 x 83 = 514932

Least Common Multiple of 47,33,44,83 with GCF Formula

Least Common Multiple of 47,33,44,83 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 47,33,44,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,33,44,83) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(47,33,44,83) x common factors =1 x 11 = 11

LCM(47,33,44,83) = ( 47 × 33 × 44 × 83 ) / 11

LCM(47,33,44,83) = 5664252 / 11

LCM(47,33,44,83) = 514932


Lets's calculate GCF of 44,40,64,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514932/1

Therefore the LCM of Fractions 47/44,33/40,44/64,83/307 is 514932

Greatest Common Factor of 44,40,64,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,40,64,307 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 44,40,64,307 . The biggest common factor number is the GCF number.
So the greatest common factor 44,40,64,307 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 47/44, 33/40, 44/64, 83/307

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 47/44, 33/40, 44/64, 83/307?

Answer: LCM of Numerators as per given numbers 47/44, 33/40, 44/64, 83/307 is

LCM of Numerators i.e. for 47,33,44,83 is 514932

GCF of denominators i.e. for 44,40,64,307 is 1.

Thus, LCM of Fractions is 514932.Finally, LCM of Fractions for 47/44, 33/40, 44/64, 83/307 is 514932.