Least Common Multiple of 71/523, 290/605, 830/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/523, 290/605, 830/872 quickly i.e. 1708970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/523, 290/605, 830/872 is 1708970.

LCM(71/523, 290/605, 830/872) = 1708970

LCM of 71/523, 290/605, 830/872

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 71/523,290/605,830/872

Given numbers are 71/523,290/605,830/872

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 71,290,830

Least Common Multiple of Numerators i.e. LCM of 71,290,830 is 1708970.

GCF of Denominators means GCF of 523,605,872 as per the given fractions.

GCF of 523,605,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,290,830

LCM of Fractions 71/523,290/605,830/872 is 1708970

2 71, 290, 830
5 71, 145, 415
71, 29, 83

∴ So the LCM of the given numbers is 2 x 5 x 71 x 29 x 83 = 1708970

Least Common Multiple of 71,290,830 with GCF Formula

Least Common Multiple of 71,290,830 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 71,290,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,290,830) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(71,290,830) x common factors =1 x 10 = 10

LCM(71,290,830) = ( 71 × 290 × 830 ) / 10

LCM(71,290,830) = 17089700 / 10

LCM(71,290,830) = 1708970


Lets's calculate GCF of 523,605,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1708970/1

Therefore the LCM of Fractions 71/523,290/605,830/872 is 1708970

Greatest Common Factor of 523,605,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,605,872 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 523,605,872 . The biggest common factor number is the GCF number.
So the greatest common factor 523,605,872 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 71/523, 290/605, 830/872

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 71/523, 290/605, 830/872?

Answer: LCM of Numerators as per given numbers 71/523, 290/605, 830/872 is

LCM of Numerators i.e. for 71,290,830 is 1708970

GCF of denominators i.e. for 523,605,872 is 1.

Thus, LCM of Fractions is 1708970.Finally, LCM of Fractions for 71/523, 290/605, 830/872 is 1708970.