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LCM of 418, 583, 511, 110, 816

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


Find the LCM of 418, 583, 511, 110, 816 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 418, 583, 511, 110, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,583,511,110,816

Given numbers are 418,583,511,110,816

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

The LCM of 418,583,511,110,816 is 23094215760.

Find LCM of 418,583,511,110,816 with Prime Factorization


2 418, 583, 511, 110, 816
11 209, 583, 511, 55, 408
19, 53, 511, 5, 408

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

2 x 11 x 19 x 53 x 511 x 5 x 408 = 23094215760

Therefore, the lowest common multiple of 418,583,511,110,816 is 23094215760.

LCM Formula to Find Lowest Common Multiple of 418,583,511,110,816

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.

418 x 583 x 511 x 110 x 816 = 11177600427840

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.

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

583 : 1, 11, 53, 583

511 : 1, 7, 73, 511

110 : 1, 2, 5, 10, 11, 22, 55, 110

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,583,511,110,816, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

583:11x 53

511:7x 73

110:2x 5x 11

816:2x 2x 2x 2x 3x 17

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 11177600427840/(1x484)

LCM = 11177600427840/484

LCM = 23094215760

Thus, we can understand that the LCM of 418,583,511,110,816 is 23094215760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 583, 511, 110, 816

1. What is the LCM of 418, 583, 511, 110, 816?

Answer: LCM of 418, 583, 511, 110, 816 is 23094215760.

2. How to calculate the LCM of 418, 583, 511, 110, 816?

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 418, 583, 511, 110, 816.

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}.