Least Common Multiple of 81/438, 49/501, 605/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/438, 49/501, 605/528 quickly i.e. 800415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/438, 49/501, 605/528 is 800415.

LCM(81/438, 49/501, 605/528) = 800415

LCM of 81/438, 49/501, 605/528

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 81/438,49/501,605/528

Given numbers are 81/438,49/501,605/528

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 81,49,605

Least Common Multiple of Numerators i.e. LCM of 81,49,605 is 2401245.

GCF of Denominators means GCF of 438,501,528 as per the given fractions.

GCF of 438,501,528 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,49,605

LCM of Fractions 81/438,49/501,605/528 is 800415

Given numbers has no common factors except 1. So, there LCM is their product i.e 2401245

Least Common Multiple of 81,49,605 with GCF Formula

Least Common Multiple of 81,49,605 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 81,49,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,49,605) = 1

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

GCF(81,49,605) x common factors =1 x 1 = 1

LCM(81,49,605) = ( 81 × 49 × 605 ) / 1

LCM(81,49,605) = 2401245 / 1

LCM(81,49,605) = 2401245


Lets's calculate GCF of 438,501,528

3 438, 501, 528
146, 167, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2401245/3

Therefore the LCM of Fractions 81/438,49/501,605/528 is 800415

Greatest Common Factor of 438,501,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,501,528 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 438,501,528 . The biggest common factor number is the GCF number.
So the greatest common factor 438,501,528 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 81/438, 49/501, 605/528

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 81/438, 49/501, 605/528?

Answer: LCM of Numerators as per given numbers 81/438, 49/501, 605/528 is

LCM of Numerators i.e. for 81,49,605 is 2401245

GCF of denominators i.e. for 438,501,528 is 3.

Thus, LCM of Fractions is 800415.Finally, LCM of Fractions for 81/438, 49/501, 605/528 is 800415.