Least Common Multiple of 71/646, 17/502, 809/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/646, 17/502, 809/871 quickly i.e. 976463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/646, 17/502, 809/871 is 976463.

LCM(71/646, 17/502, 809/871) = 976463

LCM of 71/646, 17/502, 809/871

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 71/646,17/502,809/871

Given numbers are 71/646,17/502,809/871

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 71,17,809

Least Common Multiple of Numerators i.e. LCM of 71,17,809 is 976463.

GCF of Denominators means GCF of 646,502,871 as per the given fractions.

GCF of 646,502,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,17,809

LCM of Fractions 71/646,17/502,809/871 is 976463

Given numbers has no common factors except 1. So, there LCM is their product i.e 976463

Least Common Multiple of 71,17,809 with GCF Formula

Least Common Multiple of 71,17,809 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 71,17,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,17,809) = 1

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

GCF(71,17,809) x common factors =1 x 1 = 1

LCM(71,17,809) = ( 71 × 17 × 809 ) / 1

LCM(71,17,809) = 976463 / 1

LCM(71,17,809) = 976463


Lets's calculate GCF of 646,502,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976463/1

Therefore the LCM of Fractions 71/646,17/502,809/871 is 976463

Greatest Common Factor of 646,502,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,502,871 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 646,502,871 . The biggest common factor number is the GCF number.
So the greatest common factor 646,502,871 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 71/646, 17/502, 809/871

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 71/646, 17/502, 809/871?

Answer: LCM of Numerators as per given numbers 71/646, 17/502, 809/871 is

LCM of Numerators i.e. for 71,17,809 is 976463

GCF of denominators i.e. for 646,502,871 is 1.

Thus, LCM of Fractions is 976463.Finally, LCM of Fractions for 71/646, 17/502, 809/871 is 976463.