Least Common Multiple of 24/86, 24/56, 14/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/86, 24/56, 14/262 quickly i.e. 84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/86, 24/56, 14/262 is 84.

LCM(24/86, 24/56, 14/262) = 84

LCM of 24/86, 24/56, 14/262

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 24/86,24/56,14/262

Given numbers are 24/86,24/56,14/262

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 24,24,14

Least Common Multiple of Numerators i.e. LCM of 24,24,14 is 168.

GCF of Denominators means GCF of 86,56,262 as per the given fractions.

GCF of 86,56,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,24,14

LCM of Fractions 24/86,24/56,14/262 is 84

2 24, 24, 14
2 12, 12, 7
2 6, 6, 7
3 3, 3, 7
1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 7 = 168

Least Common Multiple of 24,24,14 with GCF Formula

Least Common Multiple of 24,24,14 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 24,24,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,24,14) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(24,24,14) x common factors =2 x 24 = 48

LCM(24,24,14) = ( 24 × 24 × 14 ) / 48

LCM(24,24,14) = 8064 / 48

LCM(24,24,14) = 168


Lets's calculate GCF of 86,56,262

2 86, 56, 262
43, 28, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168/2

Therefore the LCM of Fractions 24/86,24/56,14/262 is 84

Greatest Common Factor of 86,56,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,56,262 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 56

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

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

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 86,56,262 . The biggest common factor number is the GCF number.
So the greatest common factor 86,56,262 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 24/86, 24/56, 14/262

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 24/86, 24/56, 14/262?

Answer: LCM of Numerators as per given numbers 24/86, 24/56, 14/262 is

LCM of Numerators i.e. for 24,24,14 is 168

GCF of denominators i.e. for 86,56,262 is 2.

Thus, LCM of Fractions is 84.Finally, LCM of Fractions for 24/86, 24/56, 14/262 is 84.