Least Common Multiple of 67/24, 86/40, 67/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/24, 86/40, 67/413 quickly i.e. 5762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/24, 86/40, 67/413 is 5762.

LCM(67/24, 86/40, 67/413) = 5762

LCM of 67/24, 86/40, 67/413

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 67/24,86/40,67/413

Given numbers are 67/24,86/40,67/413

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 67,86,67

Least Common Multiple of Numerators i.e. LCM of 67,86,67 is 5762.

GCF of Denominators means GCF of 24,40,413 as per the given fractions.

GCF of 24,40,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,86,67

LCM of Fractions 67/24,86/40,67/413 is 5762

67 67, 86, 67
1, 86, 1

∴ So the LCM of the given numbers is 67 x 1 x 86 x 1 = 5762

Least Common Multiple of 67,86,67 with GCF Formula

Least Common Multiple of 67,86,67 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 67,86,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,86,67) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(67,86,67) x common factors =1 x 67 = 67

LCM(67,86,67) = ( 67 × 86 × 67 ) / 67

LCM(67,86,67) = 386054 / 67

LCM(67,86,67) = 5762


Lets's calculate GCF of 24,40,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5762/1

Therefore the LCM of Fractions 67/24,86/40,67/413 is 5762

Greatest Common Factor of 24,40,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,40,413 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 24,40,413 . The biggest common factor number is the GCF number.
So the greatest common factor 24,40,413 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 67/24, 86/40, 67/413

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 67/24, 86/40, 67/413?

Answer: LCM of Numerators as per given numbers 67/24, 86/40, 67/413 is

LCM of Numerators i.e. for 67,86,67 is 5762

GCF of denominators i.e. for 24,40,413 is 1.

Thus, LCM of Fractions is 5762.Finally, LCM of Fractions for 67/24, 86/40, 67/413 is 5762.