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LCM of 551, 494, 716, 418, 886

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


Find the LCM of 551, 494, 716, 418, 886 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 551, 494, 716, 418, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,494,716,418,886

Given numbers are 551,494,716,418,886

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

The LCM of 551,494,716,418,886 is 24992194084.

Find LCM of 551,494,716,418,886 with Prime Factorization


2 551, 494, 716, 418, 886
19 551, 247, 358, 209, 443
29, 13, 358, 11, 443

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

2 x 19 x 29 x 13 x 358 x 11 x 443 = 24992194084

Therefore, the lowest common multiple of 551,494,716,418,886 is 24992194084.

LCM Formula to Find Lowest Common Multiple of 551,494,716,418,886

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.

551 x 494 x 716 x 418 x 886 = 72177456514592

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.

551 : 1, 19, 29, 551

494 : 1, 2, 13, 19, 26, 38, 247, 494

716 : 1, 2, 4, 179, 358, 716

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

886 : 1, 2, 443, 886

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,494,716,418,886, is 1.

Now, the common factors can be found like this.

551:19x 29

494:2x 13x 19

716:2x 2x 179

418:2x 11x 19

886:2x 443

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 19x 19 = 2888

Therefore, the value for common factors is 2888.

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 = 72177456514592/(1x2888)

LCM = 72177456514592/2888

LCM = 24992194084

Thus, we can understand that the LCM of 551,494,716,418,886 is 24992194084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 494, 716, 418, 886

1. What is the LCM of 551, 494, 716, 418, 886?

Answer: LCM of 551, 494, 716, 418, 886 is 24992194084.

2. How to calculate the LCM of 551, 494, 716, 418, 886?

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 551, 494, 716, 418, 886.

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}.