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LCM of 619, 493, 551, 272

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


Find the LCM of 619, 493, 551, 272 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 619, 493, 551, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,493,551,272

Given numbers are 619,493,551,272

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

The LCM of 619,493,551,272 is 92770768.

Find LCM of 619,493,551,272 with Prime Factorization


17 619, 493, 551, 272
29 619, 29, 551, 16
619, 1, 19, 16

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

17 x 29 x 619 x 1 x 19 x 16 = 92770768

Therefore, the lowest common multiple of 619,493,551,272 is 92770768.

LCM Formula to Find Lowest Common Multiple of 619,493,551,272

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.

619 x 493 x 551 x 272 = 45735988624

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.

619 : 1, 619

493 : 1, 17, 29, 493

551 : 1, 19, 29, 551

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,493,551,272, is 1.

Now, the common factors can be found like this.

619:619

493:17x 29

551:19x 29

272:2x 2x 2x 2x 17

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 45735988624/(1x493)

LCM = 45735988624/493

LCM = 92770768

Thus, we can understand that the LCM of 619,493,551,272 is 92770768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 619, 493, 551, 272

1. What is the LCM of 619, 493, 551, 272?

Answer: LCM of 619, 493, 551, 272 is 92770768.

2. How to calculate the LCM of 619, 493, 551, 272?

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 619, 493, 551, 272.

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}.