Least Common Multiple of 19/44, 71/45, 39/47, 56/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/44, 71/45, 39/47, 56/400 quickly i.e. 2946216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/44, 71/45, 39/47, 56/400 is 2946216.

LCM(19/44, 71/45, 39/47, 56/400) = 2946216

LCM of 19/44, 71/45, 39/47, 56/400

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 19/44,71/45,39/47,56/400

Given numbers are 19/44,71/45,39/47,56/400

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 19,71,39,56

Least Common Multiple of Numerators i.e. LCM of 19,71,39,56 is 2946216.

GCF of Denominators means GCF of 44,45,47,400 as per the given fractions.

GCF of 44,45,47,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,71,39,56

LCM of Fractions 19/44,71/45,39/47,56/400 is 2946216

Given numbers has no common factors except 1. So, there LCM is their product i.e 2946216

Least Common Multiple of 19,71,39,56 with GCF Formula

Least Common Multiple of 19,71,39,56 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 19,71,39,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,71,39,56) = 1

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

GCF(19,71,39,56) x common factors =1 x 1 = 1

LCM(19,71,39,56) = ( 19 × 71 × 39 × 56 ) / 1

LCM(19,71,39,56) = 2946216 / 1

LCM(19,71,39,56) = 2946216


Lets's calculate GCF of 44,45,47,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2946216/1

Therefore the LCM of Fractions 19/44,71/45,39/47,56/400 is 2946216

Greatest Common Factor of 44,45,47,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,45,47,400 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 47

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

1,47

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 44,45,47,400 . The biggest common factor number is the GCF number.
So the greatest common factor 44,45,47,400 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 19/44, 71/45, 39/47, 56/400

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 19/44, 71/45, 39/47, 56/400?

Answer: LCM of Numerators as per given numbers 19/44, 71/45, 39/47, 56/400 is

LCM of Numerators i.e. for 19,71,39,56 is 2946216

GCF of denominators i.e. for 44,45,47,400 is 1.

Thus, LCM of Fractions is 2946216.Finally, LCM of Fractions for 19/44, 71/45, 39/47, 56/400 is 2946216.