Least Common Multiple of 66/576, 794/58, 297/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/576, 794/58, 297/816 quickly i.e. 117909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/576, 794/58, 297/816 is 117909.

LCM(66/576, 794/58, 297/816) = 117909

LCM of 66/576, 794/58, 297/816

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 66/576,794/58,297/816

Given numbers are 66/576,794/58,297/816

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 66,794,297

Least Common Multiple of Numerators i.e. LCM of 66,794,297 is 235818.

GCF of Denominators means GCF of 576,58,816 as per the given fractions.

GCF of 576,58,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,794,297

LCM of Fractions 66/576,794/58,297/816 is 117909

2 66, 794, 297
3 33, 397, 297
11 11, 397, 99
1, 397, 9

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 397 x 9 = 235818

Least Common Multiple of 66,794,297 with GCF Formula

Least Common Multiple of 66,794,297 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 66,794,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,794,297) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(66,794,297) x common factors =1 x 66 = 66

LCM(66,794,297) = ( 66 × 794 × 297 ) / 66

LCM(66,794,297) = 15563988 / 66

LCM(66,794,297) = 235818


Lets's calculate GCF of 576,58,816

2 576, 58, 816
288, 29, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235818/2

Therefore the LCM of Fractions 66/576,794/58,297/816 is 117909

Greatest Common Factor of 576,58,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,58,816 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 576,58,816 . The biggest common factor number is the GCF number.
So the greatest common factor 576,58,816 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 66/576, 794/58, 297/816

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 66/576, 794/58, 297/816?

Answer: LCM of Numerators as per given numbers 66/576, 794/58, 297/816 is

LCM of Numerators i.e. for 66,794,297 is 235818

GCF of denominators i.e. for 576,58,816 is 2.

Thus, LCM of Fractions is 117909.Finally, LCM of Fractions for 66/576, 794/58, 297/816 is 117909.