Least Common Multiple of 41/58, 80/32, 40/89, 67/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/58, 80/32, 40/89, 67/563 quickly i.e. 219760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/58, 80/32, 40/89, 67/563 is 219760.

LCM(41/58, 80/32, 40/89, 67/563) = 219760

LCM of 41/58, 80/32, 40/89, 67/563

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 41/58,80/32,40/89,67/563

Given numbers are 41/58,80/32,40/89,67/563

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 41,80,40,67

Least Common Multiple of Numerators i.e. LCM of 41,80,40,67 is 219760.

GCF of Denominators means GCF of 58,32,89,563 as per the given fractions.

GCF of 58,32,89,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,80,40,67

LCM of Fractions 41/58,80/32,40/89,67/563 is 219760

2 41, 80, 40, 67
2 41, 40, 20, 67
2 41, 10, 20, 67
5 41, 5, 10, 67
41, 1, 2, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 41 x 1 x 2 x 67 = 219760

Least Common Multiple of 41,80,40,67 with GCF Formula

Least Common Multiple of 41,80,40,67 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 41,80,40,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,80,40,67) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(41,80,40,67) x common factors =1 x 40 = 40

LCM(41,80,40,67) = ( 41 × 80 × 40 × 67 ) / 40

LCM(41,80,40,67) = 8790400 / 40

LCM(41,80,40,67) = 219760


Lets's calculate GCF of 58,32,89,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219760/1

Therefore the LCM of Fractions 41/58,80/32,40/89,67/563 is 219760

Greatest Common Factor of 58,32,89,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,32,89,563 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 58,32,89,563 . The biggest common factor number is the GCF number.
So the greatest common factor 58,32,89,563 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 41/58, 80/32, 40/89, 67/563

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 41/58, 80/32, 40/89, 67/563?

Answer: LCM of Numerators as per given numbers 41/58, 80/32, 40/89, 67/563 is

LCM of Numerators i.e. for 41,80,40,67 is 219760

GCF of denominators i.e. for 58,32,89,563 is 1.

Thus, LCM of Fractions is 219760.Finally, LCM of Fractions for 41/58, 80/32, 40/89, 67/563 is 219760.