Least Common Multiple of 441/89, 473/86, 716/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/89, 473/86, 716/458 quickly i.e. 149352588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/89, 473/86, 716/458 is 149352588.

LCM(441/89, 473/86, 716/458) = 149352588

LCM of 441/89, 473/86, 716/458

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 441/89,473/86,716/458

Given numbers are 441/89,473/86,716/458

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 441,473,716

Least Common Multiple of Numerators i.e. LCM of 441,473,716 is 149352588.

GCF of Denominators means GCF of 89,86,458 as per the given fractions.

GCF of 89,86,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,473,716

LCM of Fractions 441/89,473/86,716/458 is 149352588

Given numbers has no common factors except 1. So, there LCM is their product i.e 149352588

Least Common Multiple of 441,473,716 with GCF Formula

Least Common Multiple of 441,473,716 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 441,473,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,473,716) = 1

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

GCF(441,473,716) x common factors =1 x 1 = 1

LCM(441,473,716) = ( 441 × 473 × 716 ) / 1

LCM(441,473,716) = 149352588 / 1

LCM(441,473,716) = 149352588


Lets's calculate GCF of 89,86,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149352588/1

Therefore the LCM of Fractions 441/89,473/86,716/458 is 149352588

Greatest Common Factor of 89,86,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,86,458 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 89,86,458 . The biggest common factor number is the GCF number.
So the greatest common factor 89,86,458 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 441/89, 473/86, 716/458

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 441/89, 473/86, 716/458?

Answer: LCM of Numerators as per given numbers 441/89, 473/86, 716/458 is

LCM of Numerators i.e. for 441,473,716 is 149352588

GCF of denominators i.e. for 89,86,458 is 1.

Thus, LCM of Fractions is 149352588.Finally, LCM of Fractions for 441/89, 473/86, 716/458 is 149352588.