Least Common Multiple of 72/820, 786/820, 387/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/820, 786/820, 387/164 quickly i.e. 405576/164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/820, 786/820, 387/164 is 405576/164.

LCM(72/820, 786/820, 387/164) = 405576/164

LCM of 72/820, 786/820, 387/164

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 72/820,786/820,387/164

Given numbers are 72/820,786/820,387/164

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 72,786,387

Least Common Multiple of Numerators i.e. LCM of 72,786,387 is 405576.

GCF of Denominators means GCF of 820,820,164 as per the given fractions.

GCF of 820,820,164 is 164 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,786,387

LCM of Fractions 72/820,786/820,387/164 is 405576/164

2 72, 786, 387
3 36, 393, 387
3 12, 131, 129
4, 131, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 131 x 43 = 405576

Least Common Multiple of 72,786,387 with GCF Formula

Least Common Multiple of 72,786,387 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 72,786,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,786,387) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(72,786,387) x common factors =3 x 18 = 54

LCM(72,786,387) = ( 72 × 786 × 387 ) / 54

LCM(72,786,387) = 21901104 / 54

LCM(72,786,387) = 405576


Lets's calculate GCF of 820,820,164

2 820, 820, 164
2 410, 410, 82
41 205, 205, 41
5, 5, 1

∴ So the GCF of the given numbers is 2 x 2 x 41 = 164

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405576/164

Therefore the LCM of Fractions 72/820,786/820,387/164 is 405576/164

Greatest Common Factor of 820,820,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,820,164 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 820,820,164 . The biggest common factor number is the GCF number.
So the greatest common factor 820,820,164 is 164.


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 72/820, 786/820, 387/164

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 72/820, 786/820, 387/164?

Answer: LCM of Numerators as per given numbers 72/820, 786/820, 387/164 is

LCM of Numerators i.e. for 72,786,387 is 405576

GCF of denominators i.e. for 820,820,164 is 164.

Thus, LCM of Fractions is 405576/164.Finally, LCM of Fractions for 72/820, 786/820, 387/164 is 405576/164.