Least Common Multiple of 66/256, 46/300, 167/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/256, 46/300, 167/667 quickly i.e. 253506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/256, 46/300, 167/667 is 253506.

LCM(66/256, 46/300, 167/667) = 253506

LCM of 66/256, 46/300, 167/667

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 66/256,46/300,167/667

Given numbers are 66/256,46/300,167/667

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 66,46,167

Least Common Multiple of Numerators i.e. LCM of 66,46,167 is 253506.

GCF of Denominators means GCF of 256,300,667 as per the given fractions.

GCF of 256,300,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,46,167

LCM of Fractions 66/256,46/300,167/667 is 253506

2 66, 46, 167
33, 23, 167

∴ So the LCM of the given numbers is 2 x 33 x 23 x 167 = 253506

Least Common Multiple of 66,46,167 with GCF Formula

Least Common Multiple of 66,46,167 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 66,46,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,46,167) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,46,167) x common factors =1 x 2 = 2

LCM(66,46,167) = ( 66 × 46 × 167 ) / 2

LCM(66,46,167) = 507012 / 2

LCM(66,46,167) = 253506


Lets's calculate GCF of 256,300,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253506/1

Therefore the LCM of Fractions 66/256,46/300,167/667 is 253506

Greatest Common Factor of 256,300,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,300,667 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 256,300,667 . The biggest common factor number is the GCF number.
So the greatest common factor 256,300,667 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 66/256, 46/300, 167/667

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 66/256, 46/300, 167/667?

Answer: LCM of Numerators as per given numbers 66/256, 46/300, 167/667 is

LCM of Numerators i.e. for 66,46,167 is 253506

GCF of denominators i.e. for 256,300,667 is 1.

Thus, LCM of Fractions is 253506.Finally, LCM of Fractions for 66/256, 46/300, 167/667 is 253506.