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LCM of 821, 506, 888, 436, 517

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


Find the LCM of 821, 506, 888, 436, 517 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 821, 506, 888, 436, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,506,888,436,517

Given numbers are 821,506,888,436,517

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

The LCM of 821,506,888,436,517 is 944932964712.

Find LCM of 821,506,888,436,517 with Prime Factorization


2 821, 506, 888, 436, 517
2 821, 253, 444, 218, 517
11 821, 253, 222, 109, 517
821, 23, 222, 109, 47

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

2 x 2 x 11 x 821 x 23 x 222 x 109 x 47 = 944932964712

Therefore, the lowest common multiple of 821,506,888,436,517 is 944932964712.

LCM Formula to Find Lowest Common Multiple of 821,506,888,436,517

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.

821 x 506 x 888 x 436 x 517 = 83154100894656

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.

821 : 1, 821

506 : 1, 2, 11, 22, 23, 46, 253, 506

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

436 : 1, 2, 4, 109, 218, 436

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,506,888,436,517, is 1.

Now, the common factors can be found like this.

821:821

506:2x 11x 23

888:2x 2x 2x 3x 37

436:2x 2x 109

517:11x 47

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 11 = 88

Therefore, the value for common factors is 88.

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 = 83154100894656/(1x88)

LCM = 83154100894656/88

LCM = 944932964712

Thus, we can understand that the LCM of 821,506,888,436,517 is 944932964712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 506, 888, 436, 517

1. What is the LCM of 821, 506, 888, 436, 517?

Answer: LCM of 821, 506, 888, 436, 517 is 944932964712.

2. How to calculate the LCM of 821, 506, 888, 436, 517?

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 821, 506, 888, 436, 517.

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}.