Least Common Multiple of 804/412, 704/362, 927/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/412, 704/362, 927/525 quickly i.e. 43724736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/412, 704/362, 927/525 is 43724736.

LCM(804/412, 704/362, 927/525) = 43724736

LCM of 804/412, 704/362, 927/525

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 804/412,704/362,927/525

Given numbers are 804/412,704/362,927/525

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 804,704,927

Least Common Multiple of Numerators i.e. LCM of 804,704,927 is 43724736.

GCF of Denominators means GCF of 412,362,525 as per the given fractions.

GCF of 412,362,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,704,927

LCM of Fractions 804/412,704/362,927/525 is 43724736

2 804, 704, 927
2 402, 352, 927
3 201, 176, 927
67, 176, 309

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 176 x 309 = 43724736

Least Common Multiple of 804,704,927 with GCF Formula

Least Common Multiple of 804,704,927 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 804,704,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,704,927) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(804,704,927) x common factors =1 x 12 = 12

LCM(804,704,927) = ( 804 × 704 × 927 ) / 12

LCM(804,704,927) = 524696832 / 12

LCM(804,704,927) = 43724736


Lets's calculate GCF of 412,362,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43724736/1

Therefore the LCM of Fractions 804/412,704/362,927/525 is 43724736

Greatest Common Factor of 412,362,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,362,525 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 412,362,525 . The biggest common factor number is the GCF number.
So the greatest common factor 412,362,525 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 804/412, 704/362, 927/525

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 804/412, 704/362, 927/525?

Answer: LCM of Numerators as per given numbers 804/412, 704/362, 927/525 is

LCM of Numerators i.e. for 804,704,927 is 43724736

GCF of denominators i.e. for 412,362,525 is 1.

Thus, LCM of Fractions is 43724736.Finally, LCM of Fractions for 804/412, 704/362, 927/525 is 43724736.