Least Common Multiple of 668/64, 217/6696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/64, 217/6696 quickly i.e. 144956/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/64, 217/6696 is 144956/8.

LCM(668/64, 217/6696) = 144956/8

LCM of 668/64, 217/6696

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 668/64,217/6696

Given numbers are 668/64,217/6696

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 668,217

Least Common Multiple of Numerators i.e. LCM of 668,217 is 144956.

GCF of Denominators means GCF of 64,6696 as per the given fractions.

GCF of 64,6696 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,217

LCM of Fractions 668/64,217/6696 is 144956/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 144956

Least Common Multiple of 668,217 with GCF Formula

Least Common Multiple of 668,217 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 668,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,217) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(668,217) x common factors =1 x 1 = 1

LCM(668,217) = ( 668 × 217 ) / 1

LCM(668,217) = 144956 / 1

LCM(668,217) = 144956


Lets's calculate GCF of 64,6696

2 64, 6696
2 32, 3348
2 16, 1674
8, 837

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144956/8

Therefore the LCM of Fractions 668/64,217/6696 is 144956/8

Greatest Common Factor of 64,6696 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,6696 By Matching Biggest Common Factor Method

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 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

Greatest Common Factor

We found the factors 64,6696 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6696 is 8.


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 668/64, 217/6696

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 668/64, 217/6696?

Answer: LCM of Numerators as per given numbers 668/64, 217/6696 is

LCM of Numerators i.e. for 668,217 is 144956

GCF of denominators i.e. for 64,6696 is 8.

Thus, LCM of Fractions is 144956/8.Finally, LCM of Fractions for 668/64, 217/6696 is 144956/8.