LCM of 535, 446, 657, 288, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 446, 657, 288, 462 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 535, 446, 657, 288, 462. So, keep reading to learn more.
Given numbers are 535,446,657,288,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,446,657,288,462 is 193136660640.
Find LCM of 535,446,657,288,462 with Prime Factorization
| 2 | 535, 446, 657, 288, 462 |
| 3 | 535, 223, 657, 144, 231 |
| 3 | 535, 223, 219, 48, 77 |
| 535, 223, 73, 16, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 535 x 223 x 73 x 16 x 77 = 193136660640
Therefore, the lowest common multiple of 535,446,657,288,462 is 193136660640.
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.
535 x 446 x 657 x 288 x 462 = 20858759349120
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.
535 : 1, 5, 107, 535
446 : 1, 2, 223, 446
657 : 1, 3, 9, 73, 219, 657
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,446,657,288,462, is 1.
Now, the common factors can be found like this.
535:5x 107
446:2x 223
657:3x 3x 73
288:2x 2x 2x 2x 2x 3x 3
462:2x 3x 7x 11
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 20858759349120/(1x108)
LCM = 20858759349120/108
LCM = 193136660640
Thus, we can understand that the LCM of 535,446,657,288,462 is 193136660640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 535, 446, 657, 288, 462
1. What is the LCM of 535, 446, 657, 288, 462?
Answer: LCM of 535, 446, 657, 288, 462 is 193136660640.
2. How to calculate the LCM of 535, 446, 657, 288, 462?
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 535, 446, 657, 288, 462.
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}.