Least Common Multiple of 66/729, 83/349, 498/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/729, 83/349, 498/751 quickly i.e. 5478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/729, 83/349, 498/751 is 5478.

LCM(66/729, 83/349, 498/751) = 5478

LCM of 66/729, 83/349, 498/751

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 66/729,83/349,498/751

Given numbers are 66/729,83/349,498/751

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 66,83,498

Least Common Multiple of Numerators i.e. LCM of 66,83,498 is 5478.

GCF of Denominators means GCF of 729,349,751 as per the given fractions.

GCF of 729,349,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,83,498

LCM of Fractions 66/729,83/349,498/751 is 5478

2 66, 83, 498
3 33, 83, 249
83 11, 83, 83
11, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 83 x 11 x 1 x 1 = 5478

Least Common Multiple of 66,83,498 with GCF Formula

Least Common Multiple of 66,83,498 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 66,83,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,83,498) = 1

common factors(in case of two or more numbers have common factors) = 498

GCF(66,83,498) x common factors =1 x 498 = 498

LCM(66,83,498) = ( 66 × 83 × 498 ) / 498

LCM(66,83,498) = 2728044 / 498

LCM(66,83,498) = 5478


Lets's calculate GCF of 729,349,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5478/1

Therefore the LCM of Fractions 66/729,83/349,498/751 is 5478

Greatest Common Factor of 729,349,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,349,751 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 729,349,751 . The biggest common factor number is the GCF number.
So the greatest common factor 729,349,751 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 66/729, 83/349, 498/751

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 66/729, 83/349, 498/751?

Answer: LCM of Numerators as per given numbers 66/729, 83/349, 498/751 is

LCM of Numerators i.e. for 66,83,498 is 5478

GCF of denominators i.e. for 729,349,751 is 1.

Thus, LCM of Fractions is 5478.Finally, LCM of Fractions for 66/729, 83/349, 498/751 is 5478.