Least Common Multiple of 81/27, 43/448, 145/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/27, 43/448, 145/252 quickly i.e. 505035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/27, 43/448, 145/252 is 505035.

LCM(81/27, 43/448, 145/252) = 505035

LCM of 81/27, 43/448, 145/252

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 81/27,43/448,145/252

Given numbers are 81/27,43/448,145/252

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 81,43,145

Least Common Multiple of Numerators i.e. LCM of 81,43,145 is 505035.

GCF of Denominators means GCF of 27,448,252 as per the given fractions.

GCF of 27,448,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,43,145

LCM of Fractions 81/27,43/448,145/252 is 505035

Given numbers has no common factors except 1. So, there LCM is their product i.e 505035

Least Common Multiple of 81,43,145 with GCF Formula

Least Common Multiple of 81,43,145 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 81,43,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,43,145) = 1

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

GCF(81,43,145) x common factors =1 x 1 = 1

LCM(81,43,145) = ( 81 × 43 × 145 ) / 1

LCM(81,43,145) = 505035 / 1

LCM(81,43,145) = 505035


Lets's calculate GCF of 27,448,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505035/1

Therefore the LCM of Fractions 81/27,43/448,145/252 is 505035

Greatest Common Factor of 27,448,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,448,252 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 27,448,252 . The biggest common factor number is the GCF number.
So the greatest common factor 27,448,252 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/27, 43/448, 145/252

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 81/27, 43/448, 145/252?

Answer: LCM of Numerators as per given numbers 81/27, 43/448, 145/252 is

LCM of Numerators i.e. for 81,43,145 is 505035

GCF of denominators i.e. for 27,448,252 is 1.

Thus, LCM of Fractions is 505035.Finally, LCM of Fractions for 81/27, 43/448, 145/252 is 505035.