Least Common Multiple of 47/728, 81/965, 145/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/728, 81/965, 145/464 quickly i.e. 552015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/728, 81/965, 145/464 is 552015.

LCM(47/728, 81/965, 145/464) = 552015

LCM of 47/728, 81/965, 145/464

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 47/728,81/965,145/464

Given numbers are 47/728,81/965,145/464

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 47,81,145

Least Common Multiple of Numerators i.e. LCM of 47,81,145 is 552015.

GCF of Denominators means GCF of 728,965,464 as per the given fractions.

GCF of 728,965,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,81,145

LCM of Fractions 47/728,81/965,145/464 is 552015

Given numbers has no common factors except 1. So, there LCM is their product i.e 552015

Least Common Multiple of 47,81,145 with GCF Formula

Least Common Multiple of 47,81,145 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 47,81,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,81,145) = 1

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

GCF(47,81,145) x common factors =1 x 1 = 1

LCM(47,81,145) = ( 47 × 81 × 145 ) / 1

LCM(47,81,145) = 552015 / 1

LCM(47,81,145) = 552015


Lets's calculate GCF of 728,965,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552015/1

Therefore the LCM of Fractions 47/728,81/965,145/464 is 552015

Greatest Common Factor of 728,965,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,965,464 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 728,965,464 . The biggest common factor number is the GCF number.
So the greatest common factor 728,965,464 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 47/728, 81/965, 145/464

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 47/728, 81/965, 145/464?

Answer: LCM of Numerators as per given numbers 47/728, 81/965, 145/464 is

LCM of Numerators i.e. for 47,81,145 is 552015

GCF of denominators i.e. for 728,965,464 is 1.

Thus, LCM of Fractions is 552015.Finally, LCM of Fractions for 47/728, 81/965, 145/464 is 552015.