Least Common Multiple of 41/16, 30/56, 31/71, 56/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/16, 30/56, 31/71, 56/289 quickly i.e. 1067640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/16, 30/56, 31/71, 56/289 is 1067640.

LCM(41/16, 30/56, 31/71, 56/289) = 1067640

LCM of 41/16, 30/56, 31/71, 56/289

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 41/16,30/56,31/71,56/289

Given numbers are 41/16,30/56,31/71,56/289

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 41,30,31,56

Least Common Multiple of Numerators i.e. LCM of 41,30,31,56 is 1067640.

GCF of Denominators means GCF of 16,56,71,289 as per the given fractions.

GCF of 16,56,71,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,30,31,56

LCM of Fractions 41/16,30/56,31/71,56/289 is 1067640

2 41, 30, 31, 56
41, 15, 31, 28

∴ So the LCM of the given numbers is 2 x 41 x 15 x 31 x 28 = 1067640

Least Common Multiple of 41,30,31,56 with GCF Formula

Least Common Multiple of 41,30,31,56 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 41,30,31,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,30,31,56) = 1

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

GCF(41,30,31,56) x common factors =1 x 2 = 2

LCM(41,30,31,56) = ( 41 × 30 × 31 × 56 ) / 2

LCM(41,30,31,56) = 2135280 / 2

LCM(41,30,31,56) = 1067640


Lets's calculate GCF of 16,56,71,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1067640/1

Therefore the LCM of Fractions 41/16,30/56,31/71,56/289 is 1067640

Greatest Common Factor of 16,56,71,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,56,71,289 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 16,56,71,289 . The biggest common factor number is the GCF number.
So the greatest common factor 16,56,71,289 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 41/16, 30/56, 31/71, 56/289

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 41/16, 30/56, 31/71, 56/289?

Answer: LCM of Numerators as per given numbers 41/16, 30/56, 31/71, 56/289 is

LCM of Numerators i.e. for 41,30,31,56 is 1067640

GCF of denominators i.e. for 16,56,71,289 is 1.

Thus, LCM of Fractions is 1067640.Finally, LCM of Fractions for 41/16, 30/56, 31/71, 56/289 is 1067640.