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LCM of 551, 327, 914, 457

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


Find the LCM of 551, 327, 914, 457 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, 327, 914, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,327,914,457

Given numbers are 551,327,914,457

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

The LCM of 551,327,914,457 is 164681778.

Find LCM of 551,327,914,457 with Prime Factorization


457 551, 327, 914, 457
551, 327, 2, 1

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

457 x 551 x 327 x 2 x 1 = 164681778

Therefore, the lowest common multiple of 551,327,914,457 is 164681778.

LCM Formula to Find Lowest Common Multiple of 551,327,914,457

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 327 x 914 x 457 = 75259572546

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

327 : 1, 3, 109, 327

914 : 1, 2, 457, 914

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,327,914,457, is 1.

Now, the common factors can be found like this.

551:19x 29

327:3x 109

914:2x 457

457:457

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

457 = 457

Therefore, the value for common factors is 457.

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 = 75259572546/(1x457)

LCM = 75259572546/457

LCM = 164681778

Thus, we can understand that the LCM of 551,327,914,457 is 164681778.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 327, 914, 457

1. What is the LCM of 551, 327, 914, 457?

Answer: LCM of 551, 327, 914, 457 is 164681778.

2. How to calculate the LCM of 551, 327, 914, 457?

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, 327, 914, 457.

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}.