Least Common Multiple of 71/527, 4002/8466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/527, 4002/8466 quickly i.e. 284142/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/527, 4002/8466 is 284142/17.

LCM(71/527, 4002/8466) = 284142/17

LCM of 71/527, 4002/8466

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 71/527,4002/8466

Given numbers are 71/527,4002/8466

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 71,4002

Least Common Multiple of Numerators i.e. LCM of 71,4002 is 284142.

GCF of Denominators means GCF of 527,8466 as per the given fractions.

GCF of 527,8466 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,4002

LCM of Fractions 71/527,4002/8466 is 284142/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 284142

Least Common Multiple of 71,4002 with GCF Formula

Least Common Multiple of 71,4002 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 71,4002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,4002) = 1

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

GCF(71,4002) x common factors =1 x 1 = 1

LCM(71,4002) = ( 71 × 4002 ) / 1

LCM(71,4002) = 284142 / 1

LCM(71,4002) = 284142


Lets's calculate GCF of 527,8466

17 527, 8466
31, 498

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284142/17

Therefore the LCM of Fractions 71/527,4002/8466 is 284142/17

Greatest Common Factor of 527,8466 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,8466 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 8466

List of positive integer factors of 8466 that divides 8466 without a remainder.

1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466

Greatest Common Factor

We found the factors 527,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 527,8466 is 17.


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 71/527, 4002/8466

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 71/527, 4002/8466?

Answer: LCM of Numerators as per given numbers 71/527, 4002/8466 is

LCM of Numerators i.e. for 71,4002 is 284142

GCF of denominators i.e. for 527,8466 is 17.

Thus, LCM of Fractions is 284142/17.Finally, LCM of Fractions for 71/527, 4002/8466 is 284142/17.