Least Common Multiple of 71/441, 15/164, 585/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/441, 15/164, 585/554 quickly i.e. 41535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/441, 15/164, 585/554 is 41535.

LCM(71/441, 15/164, 585/554) = 41535

LCM of 71/441, 15/164, 585/554

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 71/441,15/164,585/554

Given numbers are 71/441,15/164,585/554

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 71,15,585

Least Common Multiple of Numerators i.e. LCM of 71,15,585 is 41535.

GCF of Denominators means GCF of 441,164,554 as per the given fractions.

GCF of 441,164,554 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,15,585

LCM of Fractions 71/441,15/164,585/554 is 41535

3 71, 15, 585
5 71, 5, 195
71, 1, 39

∴ So the LCM of the given numbers is 3 x 5 x 71 x 1 x 39 = 41535

Least Common Multiple of 71,15,585 with GCF Formula

Least Common Multiple of 71,15,585 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 71,15,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,15,585) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(71,15,585) x common factors =1 x 15 = 15

LCM(71,15,585) = ( 71 × 15 × 585 ) / 15

LCM(71,15,585) = 623025 / 15

LCM(71,15,585) = 41535


Lets's calculate GCF of 441,164,554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41535/1

Therefore the LCM of Fractions 71/441,15/164,585/554 is 41535

Greatest Common Factor of 441,164,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,164,554 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 441,164,554 . The biggest common factor number is the GCF number.
So the greatest common factor 441,164,554 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 71/441, 15/164, 585/554

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 71/441, 15/164, 585/554?

Answer: LCM of Numerators as per given numbers 71/441, 15/164, 585/554 is

LCM of Numerators i.e. for 71,15,585 is 41535

GCF of denominators i.e. for 441,164,554 is 1.

Thus, LCM of Fractions is 41535.Finally, LCM of Fractions for 71/441, 15/164, 585/554 is 41535.