Least Common Multiple of 86/46, 301/48, 667/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/46, 301/48, 667/656 quickly i.e. 200767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/46, 301/48, 667/656 is 200767.

LCM(86/46, 301/48, 667/656) = 200767

LCM of 86/46, 301/48, 667/656

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 86/46,301/48,667/656

Given numbers are 86/46,301/48,667/656

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 86,301,667

Least Common Multiple of Numerators i.e. LCM of 86,301,667 is 401534.

GCF of Denominators means GCF of 46,48,656 as per the given fractions.

GCF of 46,48,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,301,667

LCM of Fractions 86/46,301/48,667/656 is 200767

43 86, 301, 667
2, 7, 667

∴ So the LCM of the given numbers is 43 x 2 x 7 x 667 = 401534

Least Common Multiple of 86,301,667 with GCF Formula

Least Common Multiple of 86,301,667 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 86,301,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,301,667) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(86,301,667) x common factors =1 x 43 = 43

LCM(86,301,667) = ( 86 × 301 × 667 ) / 43

LCM(86,301,667) = 17265962 / 43

LCM(86,301,667) = 401534


Lets's calculate GCF of 46,48,656

2 46, 48, 656
23, 24, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401534/2

Therefore the LCM of Fractions 86/46,301/48,667/656 is 200767

Greatest Common Factor of 46,48,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,48,656 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 46,48,656 . The biggest common factor number is the GCF number.
So the greatest common factor 46,48,656 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 86/46, 301/48, 667/656

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 86/46, 301/48, 667/656?

Answer: LCM of Numerators as per given numbers 86/46, 301/48, 667/656 is

LCM of Numerators i.e. for 86,301,667 is 401534

GCF of denominators i.e. for 46,48,656 is 2.

Thus, LCM of Fractions is 200767.Finally, LCM of Fractions for 86/46, 301/48, 667/656 is 200767.