Least Common Multiple of 68/55, 73/64, 20/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/55, 73/64, 20/872 quickly i.e. 24820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/55, 73/64, 20/872 is 24820.

LCM(68/55, 73/64, 20/872) = 24820

LCM of 68/55, 73/64, 20/872

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 68/55,73/64,20/872

Given numbers are 68/55,73/64,20/872

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 68,73,20

Least Common Multiple of Numerators i.e. LCM of 68,73,20 is 24820.

GCF of Denominators means GCF of 55,64,872 as per the given fractions.

GCF of 55,64,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,73,20

LCM of Fractions 68/55,73/64,20/872 is 24820

2 68, 73, 20
2 34, 73, 10
17, 73, 5

∴ So the LCM of the given numbers is 2 x 2 x 17 x 73 x 5 = 24820

Least Common Multiple of 68,73,20 with GCF Formula

Least Common Multiple of 68,73,20 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 68,73,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,73,20) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,73,20) x common factors =1 x 4 = 4

LCM(68,73,20) = ( 68 × 73 × 20 ) / 4

LCM(68,73,20) = 99280 / 4

LCM(68,73,20) = 24820


Lets's calculate GCF of 55,64,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24820/1

Therefore the LCM of Fractions 68/55,73/64,20/872 is 24820

Greatest Common Factor of 55,64,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,64,872 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 55,64,872 . The biggest common factor number is the GCF number.
So the greatest common factor 55,64,872 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/55, 73/64, 20/872

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 68/55, 73/64, 20/872?

Answer: LCM of Numerators as per given numbers 68/55, 73/64, 20/872 is

LCM of Numerators i.e. for 68,73,20 is 24820

GCF of denominators i.e. for 55,64,872 is 1.

Thus, LCM of Fractions is 24820.Finally, LCM of Fractions for 68/55, 73/64, 20/872 is 24820.