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LCM of 798, 816, 399, 658, 562

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


Find the LCM of 798, 816, 399, 658, 562 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 798, 816, 399, 658, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,816,399,658,562

Given numbers are 798,816,399,658,562

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

The LCM of 798,816,399,658,562 is 1433329296.

Find LCM of 798,816,399,658,562 with Prime Factorization


2 798, 816, 399, 658, 562
3 399, 408, 399, 329, 281
7 133, 136, 133, 329, 281
19 19, 136, 19, 47, 281
1, 136, 1, 47, 281

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

2 x 3 x 7 x 19 x 1 x 136 x 1 x 47 x 281 = 1433329296

Therefore, the lowest common multiple of 798,816,399,658,562 is 1433329296.

LCM Formula to Find Lowest Common Multiple of 798,816,399,658,562

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.

798 x 816 x 399 x 658 x 562 = 96078929369472

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

658 : 1, 2, 7, 14, 47, 94, 329, 658

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,816,399,658,562, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

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

399:3x 7x 19

658:2x 7x 47

562:2x 281

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 3x 3x 7x 7x 19 = 67032

Therefore, the value for common factors is 67032.

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 = 96078929369472/(1x67032)

LCM = 96078929369472/67032

LCM = 1433329296

Thus, we can understand that the LCM of 798,816,399,658,562 is 1433329296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 816, 399, 658, 562

1. What is the LCM of 798, 816, 399, 658, 562?

Answer: LCM of 798, 816, 399, 658, 562 is 1433329296.

2. How to calculate the LCM of 798, 816, 399, 658, 562?

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 798, 816, 399, 658, 562.

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}.