Least Common Multiple of 82/460, 25/326, 729/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/460, 25/326, 729/224 quickly i.e. 747225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/460, 25/326, 729/224 is 747225.

LCM(82/460, 25/326, 729/224) = 747225

LCM of 82/460, 25/326, 729/224

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 82/460,25/326,729/224

Given numbers are 82/460,25/326,729/224

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 82,25,729

Least Common Multiple of Numerators i.e. LCM of 82,25,729 is 1494450.

GCF of Denominators means GCF of 460,326,224 as per the given fractions.

GCF of 460,326,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,25,729

LCM of Fractions 82/460,25/326,729/224 is 747225

Given numbers has no common factors except 1. So, there LCM is their product i.e 1494450

Least Common Multiple of 82,25,729 with GCF Formula

Least Common Multiple of 82,25,729 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 82,25,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,25,729) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,25,729) x common factors =1 x 1 = 1

LCM(82,25,729) = ( 82 × 25 × 729 ) / 1

LCM(82,25,729) = 1494450 / 1

LCM(82,25,729) = 1494450


Lets's calculate GCF of 460,326,224

2 460, 326, 224
230, 163, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1494450/2

Therefore the LCM of Fractions 82/460,25/326,729/224 is 747225

Greatest Common Factor of 460,326,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,326,224 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 460,326,224 . The biggest common factor number is the GCF number.
So the greatest common factor 460,326,224 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 82/460, 25/326, 729/224

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 82/460, 25/326, 729/224?

Answer: LCM of Numerators as per given numbers 82/460, 25/326, 729/224 is

LCM of Numerators i.e. for 82,25,729 is 1494450

GCF of denominators i.e. for 460,326,224 is 2.

Thus, LCM of Fractions is 747225.Finally, LCM of Fractions for 82/460, 25/326, 729/224 is 747225.