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LCM of 816, 457, 549, 938, 493

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


Find the LCM of 816, 457, 549, 938, 493 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 816, 457, 549, 938, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,457,549,938,493

Given numbers are 816,457,549,938,493

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

The LCM of 816,457,549,938,493 is 928171628496.

Find LCM of 816,457,549,938,493 with Prime Factorization


2 816, 457, 549, 938, 493
3 408, 457, 549, 469, 493
17 136, 457, 183, 469, 493
8, 457, 183, 469, 29

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

2 x 3 x 17 x 8 x 457 x 183 x 469 x 29 = 928171628496

Therefore, the lowest common multiple of 816,457,549,938,493 is 928171628496.

LCM Formula to Find Lowest Common Multiple of 816,457,549,938,493

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.

816 x 457 x 549 x 938 x 493 = 94673506106592

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.

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

457 : 1, 457

549 : 1, 3, 9, 61, 183, 549

938 : 1, 2, 7, 14, 67, 134, 469, 938

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,457,549,938,493, is 1.

Now, the common factors can be found like this.

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

457:457

549:3x 3x 61

938:2x 7x 67

493:17x 29

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 94673506106592/(1x102)

LCM = 94673506106592/102

LCM = 928171628496

Thus, we can understand that the LCM of 816,457,549,938,493 is 928171628496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 457, 549, 938, 493

1. What is the LCM of 816, 457, 549, 938, 493?

Answer: LCM of 816, 457, 549, 938, 493 is 928171628496.

2. How to calculate the LCM of 816, 457, 549, 938, 493?

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 816, 457, 549, 938, 493.

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}.