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LCM of 808, 418, 476, 646, 988

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 808, 418, 476, 646, 988 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 808, 418, 476, 646, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,418,476,646,988

Given numbers are 808,418,476,646,988

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 808,418,476,646,988 is 261244984.

Find LCM of 808,418,476,646,988 with Prime Factorization


2 808, 418, 476, 646, 988
2 404, 209, 238, 323, 494
17 202, 209, 119, 323, 247
19 202, 209, 7, 19, 247
202, 11, 7, 1, 13

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 17 x 19 x 202 x 11 x 7 x 1 x 13 = 261244984

Therefore, the lowest common multiple of 808,418,476,646,988 is 261244984.

LCM Formula to Find Lowest Common Multiple of 808,418,476,646,988

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

808 x 418 x 476 x 646 x 988 = 102608669875712

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

808 : 1, 2, 4, 8, 101, 202, 404, 808

418 : 1, 2, 11, 19, 22, 38, 209, 418

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,418,476,646,988, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

418:2x 11x 19

476:2x 2x 7x 17

646:2x 17x 19

988:2x 2x 13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 17x 19x 19 = 196384

Therefore, the value for common factors is 196384.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 102608669875712/(2x196384)

LCM = 102608669875712/392768

LCM = 261244984

Thus, we can understand that the LCM of 808,418,476,646,988 is 261244984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 418, 476, 646, 988

1. What is the LCM of 808, 418, 476, 646, 988?

Answer: LCM of 808, 418, 476, 646, 988 is 261244984.

2. How to calculate the LCM of 808, 418, 476, 646, 988?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 808, 418, 476, 646, 988.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.