LCM of 424, 463, 790, 555, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 463, 790, 555, 636 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 424, 463, 790, 555, 636. So, keep reading to learn more.
Given numbers are 424,463,790,555,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,463,790,555,636 is 8607299640.
Find LCM of 424,463,790,555,636 with Prime Factorization
| 2 | 424, 463, 790, 555, 636 |
| 2 | 212, 463, 395, 555, 318 |
| 3 | 106, 463, 395, 555, 159 |
| 5 | 106, 463, 395, 185, 53 |
| 53 | 106, 463, 79, 37, 53 |
| 2, 463, 79, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 53 x 2 x 463 x 79 x 37 x 1 = 8607299640
Therefore, the lowest common multiple of 424,463,790,555,636 is 8607299640.
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.
424 x 463 x 790 x 555 x 636 = 54742425710400
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
463 : 1, 463
790 : 1, 2, 5, 10, 79, 158, 395, 790
555 : 1, 3, 5, 15, 37, 111, 185, 555
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,463,790,555,636, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
463:463
790:2x 5x 79
555:3x 5x 37
636:2x 2x 3x 53
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 5x 53 = 6360
Therefore, the value for common factors is 6360.
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 = 54742425710400/(1x6360)
LCM = 54742425710400/6360
LCM = 8607299640
Thus, we can understand that the LCM of 424,463,790,555,636 is 8607299640.
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FAQs on LCM of 424, 463, 790, 555, 636
1. What is the LCM of 424, 463, 790, 555, 636?
Answer: LCM of 424, 463, 790, 555, 636 is 8607299640.
2. How to calculate the LCM of 424, 463, 790, 555, 636?
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 424, 463, 790, 555, 636.
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}.