Least Common Multiple of 74/86, 41/20, 240/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/86, 41/20, 240/568 quickly i.e. 182040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/86, 41/20, 240/568 is 182040.

LCM(74/86, 41/20, 240/568) = 182040

LCM of 74/86, 41/20, 240/568

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 74/86,41/20,240/568

Given numbers are 74/86,41/20,240/568

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 74,41,240

Least Common Multiple of Numerators i.e. LCM of 74,41,240 is 364080.

GCF of Denominators means GCF of 86,20,568 as per the given fractions.

GCF of 86,20,568 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,41,240

LCM of Fractions 74/86,41/20,240/568 is 182040

2 74, 41, 240
37, 41, 120

∴ So the LCM of the given numbers is 2 x 37 x 41 x 120 = 364080

Least Common Multiple of 74,41,240 with GCF Formula

Least Common Multiple of 74,41,240 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 74,41,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,41,240) = 1

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

GCF(74,41,240) x common factors =1 x 2 = 2

LCM(74,41,240) = ( 74 × 41 × 240 ) / 2

LCM(74,41,240) = 728160 / 2

LCM(74,41,240) = 364080


Lets's calculate GCF of 86,20,568

2 86, 20, 568
43, 10, 284

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364080/2

Therefore the LCM of Fractions 74/86,41/20,240/568 is 182040

Greatest Common Factor of 86,20,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,20,568 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 86,20,568 . The biggest common factor number is the GCF number.
So the greatest common factor 86,20,568 is 2.


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 74/86, 41/20, 240/568

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 74/86, 41/20, 240/568?

Answer: LCM of Numerators as per given numbers 74/86, 41/20, 240/568 is

LCM of Numerators i.e. for 74,41,240 is 364080

GCF of denominators i.e. for 86,20,568 is 2.

Thus, LCM of Fractions is 182040.Finally, LCM of Fractions for 74/86, 41/20, 240/568 is 182040.