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LCM of 427, 990, 238, 819, 493

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


Find the LCM of 427, 990, 238, 819, 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 427, 990, 238, 819, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,990,238,819,493

Given numbers are 427,990,238,819,493

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

The LCM of 427,990,238,819,493 is 2709276570.

Find LCM of 427,990,238,819,493 with Prime Factorization


2 427, 990, 238, 819, 493
3 427, 495, 119, 819, 493
3 427, 165, 119, 273, 493
7 427, 55, 119, 91, 493
17 61, 55, 17, 13, 493
61, 55, 1, 13, 29

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

2 x 3 x 3 x 7 x 17 x 61 x 55 x 1 x 13 x 29 = 2709276570

Therefore, the lowest common multiple of 427,990,238,819,493 is 2709276570.

LCM Formula to Find Lowest Common Multiple of 427,990,238,819,493

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.

427 x 990 x 238 x 819 x 493 = 40622892890580

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.

427 : 1, 7, 61, 427

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

238 : 1, 2, 7, 14, 17, 34, 119, 238

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,990,238,819,493, is 1.

Now, the common factors can be found like this.

427:7x 61

990:2x 3x 3x 5x 11

238:2x 7x 17

819:3x 3x 7x 13

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 3x 7x 7x 17 = 14994

Therefore, the value for common factors is 14994.

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 = 40622892890580/(1x14994)

LCM = 40622892890580/14994

LCM = 2709276570

Thus, we can understand that the LCM of 427,990,238,819,493 is 2709276570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 990, 238, 819, 493

1. What is the LCM of 427, 990, 238, 819, 493?

Answer: LCM of 427, 990, 238, 819, 493 is 2709276570.

2. How to calculate the LCM of 427, 990, 238, 819, 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 427, 990, 238, 819, 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}.