Least Common Multiple of 68/71, 64/814, 578/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/71, 64/814, 578/161 quickly i.e. 18496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/71, 64/814, 578/161 is 18496.

LCM(68/71, 64/814, 578/161) = 18496

LCM of 68/71, 64/814, 578/161

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 68/71,64/814,578/161

Given numbers are 68/71,64/814,578/161

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 68,64,578

Least Common Multiple of Numerators i.e. LCM of 68,64,578 is 18496.

GCF of Denominators means GCF of 71,814,161 as per the given fractions.

GCF of 71,814,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,64,578

LCM of Fractions 68/71,64/814,578/161 is 18496

2 68, 64, 578
2 34, 32, 289
17 17, 16, 289
1, 16, 17

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 16 x 17 = 18496

Least Common Multiple of 68,64,578 with GCF Formula

Least Common Multiple of 68,64,578 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 68,64,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,64,578) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,64,578) x common factors =2 x 68 = 136

LCM(68,64,578) = ( 68 × 64 × 578 ) / 136

LCM(68,64,578) = 2515456 / 136

LCM(68,64,578) = 18496


Lets's calculate GCF of 71,814,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18496/1

Therefore the LCM of Fractions 68/71,64/814,578/161 is 18496

Greatest Common Factor of 71,814,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,814,161 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 71,814,161 . The biggest common factor number is the GCF number.
So the greatest common factor 71,814,161 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 68/71, 64/814, 578/161

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 68/71, 64/814, 578/161?

Answer: LCM of Numerators as per given numbers 68/71, 64/814, 578/161 is

LCM of Numerators i.e. for 68,64,578 is 18496

GCF of denominators i.e. for 71,814,161 is 1.

Thus, LCM of Fractions is 18496.Finally, LCM of Fractions for 68/71, 64/814, 578/161 is 18496.