Least Common Multiple of 25/804, 81/918, 280/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/804, 81/918, 280/483 quickly i.e. 37800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/804, 81/918, 280/483 is 37800.

LCM(25/804, 81/918, 280/483) = 37800

LCM of 25/804, 81/918, 280/483

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 25/804,81/918,280/483

Given numbers are 25/804,81/918,280/483

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 25,81,280

Least Common Multiple of Numerators i.e. LCM of 25,81,280 is 113400.

GCF of Denominators means GCF of 804,918,483 as per the given fractions.

GCF of 804,918,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,81,280

LCM of Fractions 25/804,81/918,280/483 is 37800

5 25, 81, 280
5, 81, 56

∴ So the LCM of the given numbers is 5 x 5 x 81 x 56 = 113400

Least Common Multiple of 25,81,280 with GCF Formula

Least Common Multiple of 25,81,280 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 25,81,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,81,280) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,81,280) x common factors =1 x 5 = 5

LCM(25,81,280) = ( 25 × 81 × 280 ) / 5

LCM(25,81,280) = 567000 / 5

LCM(25,81,280) = 113400


Lets's calculate GCF of 804,918,483

3 804, 918, 483
268, 306, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113400/3

Therefore the LCM of Fractions 25/804,81/918,280/483 is 37800

Greatest Common Factor of 804,918,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,918,483 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 804,918,483 . The biggest common factor number is the GCF number.
So the greatest common factor 804,918,483 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 25/804, 81/918, 280/483

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 25/804, 81/918, 280/483?

Answer: LCM of Numerators as per given numbers 25/804, 81/918, 280/483 is

LCM of Numerators i.e. for 25,81,280 is 113400

GCF of denominators i.e. for 804,918,483 is 3.

Thus, LCM of Fractions is 37800.Finally, LCM of Fractions for 25/804, 81/918, 280/483 is 37800.