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LCM of 553, 398, 583, 824, 629

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


Find the LCM of 553, 398, 583, 824, 629 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 553, 398, 583, 824, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,398,583,824,629

Given numbers are 553,398,583,824,629

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

The LCM of 553,398,583,824,629 is 33252524308696.

Find LCM of 553,398,583,824,629 with Prime Factorization


2 553, 398, 583, 824, 629
553, 199, 583, 412, 629

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

2 x 553 x 199 x 583 x 412 x 629 = 33252524308696

Therefore, the lowest common multiple of 553,398,583,824,629 is 33252524308696.

LCM Formula to Find Lowest Common Multiple of 553,398,583,824,629

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.

553 x 398 x 583 x 824 x 629 = 66505048617392

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.

553 : 1, 7, 79, 553

398 : 1, 2, 199, 398

583 : 1, 11, 53, 583

824 : 1, 2, 4, 8, 103, 206, 412, 824

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,398,583,824,629, is 1.

Now, the common factors can be found like this.

553:7x 79

398:2x 199

583:11x 53

824:2x 2x 2x 103

629:17x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 66505048617392/(1x2)

LCM = 66505048617392/2

LCM = 33252524308696

Thus, we can understand that the LCM of 553,398,583,824,629 is 33252524308696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 398, 583, 824, 629

1. What is the LCM of 553, 398, 583, 824, 629?

Answer: LCM of 553, 398, 583, 824, 629 is 33252524308696.

2. How to calculate the LCM of 553, 398, 583, 824, 629?

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 553, 398, 583, 824, 629.

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}.