Least Common Multiple of 406/663, 609/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 406/663, 609/871 quickly i.e. 1218/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/663, 609/871 is 1218/13.

LCM(406/663, 609/871) = 1218/13

LCM of 406/663, 609/871

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 406/663,609/871

Given numbers are 406/663,609/871

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 406,609

Least Common Multiple of Numerators i.e. LCM of 406,609 is 1218.

GCF of Denominators means GCF of 663,871 as per the given fractions.

GCF of 663,871 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,609

LCM of Fractions 406/663,609/871 is 1218/13

7 406, 609
29 58, 87
2, 3

∴ So the LCM of the given numbers is 7 x 29 x 2 x 3 = 1218

Least Common Multiple of 406,609 with GCF Formula

Least Common Multiple of 406,609 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 406,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,609) = 203

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

GCF(406,609) x common factors =203 x 1 = 203

LCM(406,609) = ( 406 × 609 ) / 203

LCM(406,609) = 247254 / 203

LCM(406,609) = 1218


Lets's calculate GCF of 663,871

13 663, 871
51, 67

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1218/13

Therefore the LCM of Fractions 406/663,609/871 is 1218/13

Greatest Common Factor of 663,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,871 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

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 663,871 . The biggest common factor number is the GCF number.
So the greatest common factor 663,871 is 13.


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 406/663, 609/871

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 406/663, 609/871?

Answer: LCM of Numerators as per given numbers 406/663, 609/871 is

LCM of Numerators i.e. for 406,609 is 1218

GCF of denominators i.e. for 663,871 is 13.

Thus, LCM of Fractions is 1218/13.Finally, LCM of Fractions for 406/663, 609/871 is 1218/13.