LCM of 591, 704, 916, 460, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 704, 916, 460, 495 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 591, 704, 916, 460, 495. So, keep reading to learn more.
Given numbers are 591,704,916,460,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,704,916,460,495 is 32871136320.
Find LCM of 591,704,916,460,495 with Prime Factorization
| 2 | 591, 704, 916, 460, 495 |
| 2 | 591, 352, 458, 230, 495 |
| 3 | 591, 176, 229, 115, 495 |
| 5 | 197, 176, 229, 115, 165 |
| 11 | 197, 176, 229, 23, 33 |
| 197, 16, 229, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 197 x 16 x 229 x 23 x 3 = 32871136320
Therefore, the lowest common multiple of 591,704,916,460,495 is 32871136320.
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.
591 x 704 x 916 x 460 x 495 = 86779799884800
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.
591 : 1, 3, 197, 591
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
916 : 1, 2, 4, 229, 458, 916
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,704,916,460,495, is 1.
Now, the common factors can be found like this.
591:3x 197
704:2x 2x 2x 2x 2x 2x 11
916:2x 2x 229
460:2x 2x 5x 23
495:3x 3x 5x 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 2x 2x 3x 5x 11 = 2640
Therefore, the value for common factors is 2640.
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 = 86779799884800/(1x2640)
LCM = 86779799884800/2640
LCM = 32871136320
Thus, we can understand that the LCM of 591,704,916,460,495 is 32871136320.
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FAQs on LCM of 591, 704, 916, 460, 495
1. What is the LCM of 591, 704, 916, 460, 495?
Answer: LCM of 591, 704, 916, 460, 495 is 32871136320.
2. How to calculate the LCM of 591, 704, 916, 460, 495?
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 591, 704, 916, 460, 495.
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}.