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LCM of 437, 536, 816, 722, 817

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


Find the LCM of 437, 536, 816, 722, 817 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 437, 536, 816, 722, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,536,816,722,817

Given numbers are 437,536,816,722,817

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

The LCM of 437,536,816,722,817 is 19519489488.

Find LCM of 437,536,816,722,817 with Prime Factorization


2 437, 536, 816, 722, 817
2 437, 268, 408, 361, 817
2 437, 134, 204, 361, 817
19 437, 67, 102, 361, 817
23, 67, 102, 19, 43

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

2 x 2 x 2 x 19 x 23 x 67 x 102 x 19 x 43 = 19519489488

Therefore, the lowest common multiple of 437,536,816,722,817 is 19519489488.

LCM Formula to Find Lowest Common Multiple of 437,536,816,722,817

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.

437 x 536 x 816 x 722 x 817 = 112744571282688

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.

437 : 1, 19, 23, 437

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

722 : 1, 2, 19, 38, 361, 722

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,536,816,722,817, is 1.

Now, the common factors can be found like this.

437:19x 23

536:2x 2x 2x 67

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

722:2x 19x 19

817:19x 43

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 2x 19x 19 = 5776

Therefore, the value for common factors is 5776.

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 = 112744571282688/(1x5776)

LCM = 112744571282688/5776

LCM = 19519489488

Thus, we can understand that the LCM of 437,536,816,722,817 is 19519489488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 536, 816, 722, 817

1. What is the LCM of 437, 536, 816, 722, 817?

Answer: LCM of 437, 536, 816, 722, 817 is 19519489488.

2. How to calculate the LCM of 437, 536, 816, 722, 817?

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 437, 536, 816, 722, 817.

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}.