Least Common Multiple of 77/68, 66/768, 333/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/68, 66/768, 333/234 quickly i.e. 25641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/68, 66/768, 333/234 is 25641.

LCM(77/68, 66/768, 333/234) = 25641

LCM of 77/68, 66/768, 333/234

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 77/68,66/768,333/234

Given numbers are 77/68,66/768,333/234

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 77,66,333

Least Common Multiple of Numerators i.e. LCM of 77,66,333 is 51282.

GCF of Denominators means GCF of 68,768,234 as per the given fractions.

GCF of 68,768,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,66,333

LCM of Fractions 77/68,66/768,333/234 is 25641

3 77, 66, 333
11 77, 22, 111
7, 2, 111

∴ So the LCM of the given numbers is 3 x 11 x 7 x 2 x 111 = 51282

Least Common Multiple of 77,66,333 with GCF Formula

Least Common Multiple of 77,66,333 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 77,66,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,66,333) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(77,66,333) x common factors =1 x 33 = 33

LCM(77,66,333) = ( 77 × 66 × 333 ) / 33

LCM(77,66,333) = 1692306 / 33

LCM(77,66,333) = 51282


Lets's calculate GCF of 68,768,234

2 68, 768, 234
34, 384, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51282/2

Therefore the LCM of Fractions 77/68,66/768,333/234 is 25641

Greatest Common Factor of 68,768,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,768,234 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 68,768,234 . The biggest common factor number is the GCF number.
So the greatest common factor 68,768,234 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 77/68, 66/768, 333/234

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 77/68, 66/768, 333/234?

Answer: LCM of Numerators as per given numbers 77/68, 66/768, 333/234 is

LCM of Numerators i.e. for 77,66,333 is 51282

GCF of denominators i.e. for 68,768,234 is 2.

Thus, LCM of Fractions is 25641.Finally, LCM of Fractions for 77/68, 66/768, 333/234 is 25641.