Least Common Multiple of 66/68, 359/37, 329/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/68, 359/37, 329/762 quickly i.e. 7795326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/68, 359/37, 329/762 is 7795326.

LCM(66/68, 359/37, 329/762) = 7795326

LCM of 66/68, 359/37, 329/762

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 66/68,359/37,329/762

Given numbers are 66/68,359/37,329/762

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 66,359,329

Least Common Multiple of Numerators i.e. LCM of 66,359,329 is 7795326.

GCF of Denominators means GCF of 68,37,762 as per the given fractions.

GCF of 68,37,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,359,329

LCM of Fractions 66/68,359/37,329/762 is 7795326

Given numbers has no common factors except 1. So, there LCM is their product i.e 7795326

Least Common Multiple of 66,359,329 with GCF Formula

Least Common Multiple of 66,359,329 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 66,359,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,359,329) = 1

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

GCF(66,359,329) x common factors =1 x 1 = 1

LCM(66,359,329) = ( 66 × 359 × 329 ) / 1

LCM(66,359,329) = 7795326 / 1

LCM(66,359,329) = 7795326


Lets's calculate GCF of 68,37,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7795326/1

Therefore the LCM of Fractions 66/68,359/37,329/762 is 7795326

Greatest Common Factor of 68,37,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,37,762 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 68,37,762 . The biggest common factor number is the GCF number.
So the greatest common factor 68,37,762 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 66/68, 359/37, 329/762

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 66/68, 359/37, 329/762?

Answer: LCM of Numerators as per given numbers 66/68, 359/37, 329/762 is

LCM of Numerators i.e. for 66,359,329 is 7795326

GCF of denominators i.e. for 68,37,762 is 1.

Thus, LCM of Fractions is 7795326.Finally, LCM of Fractions for 66/68, 359/37, 329/762 is 7795326.