Least Common Multiple of 79/27, 416/66, 582/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/27, 416/66, 582/762 quickly i.e. 3187808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/27, 416/66, 582/762 is 3187808.

LCM(79/27, 416/66, 582/762) = 3187808

LCM of 79/27, 416/66, 582/762

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 79/27,416/66,582/762

Given numbers are 79/27,416/66,582/762

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 79,416,582

Least Common Multiple of Numerators i.e. LCM of 79,416,582 is 9563424.

GCF of Denominators means GCF of 27,66,762 as per the given fractions.

GCF of 27,66,762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,416,582

LCM of Fractions 79/27,416/66,582/762 is 3187808

2 79, 416, 582
79, 208, 291

∴ So the LCM of the given numbers is 2 x 79 x 208 x 291 = 9563424

Least Common Multiple of 79,416,582 with GCF Formula

Least Common Multiple of 79,416,582 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 79,416,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,416,582) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,416,582) x common factors =1 x 2 = 2

LCM(79,416,582) = ( 79 × 416 × 582 ) / 2

LCM(79,416,582) = 19126848 / 2

LCM(79,416,582) = 9563424


Lets's calculate GCF of 27,66,762

3 27, 66, 762
9, 22, 254

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9563424/3

Therefore the LCM of Fractions 79/27,416/66,582/762 is 3187808

Greatest Common Factor of 27,66,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,66,762 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 27,66,762 . The biggest common factor number is the GCF number.
So the greatest common factor 27,66,762 is 3.


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 79/27, 416/66, 582/762

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 79/27, 416/66, 582/762?

Answer: LCM of Numerators as per given numbers 79/27, 416/66, 582/762 is

LCM of Numerators i.e. for 79,416,582 is 9563424

GCF of denominators i.e. for 27,66,762 is 3.

Thus, LCM of Fractions is 3187808.Finally, LCM of Fractions for 79/27, 416/66, 582/762 is 3187808.