LCM of 632, 628, 530, 494, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 628, 530, 494, 608 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 632, 628, 530, 494, 608. So, keep reading to learn more.
Given numbers are 632,628,530,494,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,628,530,494,608 is 25978827680.
Find LCM of 632,628,530,494,608 with Prime Factorization
| 2 | 632, 628, 530, 494, 608 |
| 2 | 316, 314, 265, 247, 304 |
| 2 | 158, 157, 265, 247, 152 |
| 19 | 79, 157, 265, 247, 76 |
| 79, 157, 265, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 79 x 157 x 265 x 13 x 4 = 25978827680
Therefore, the lowest common multiple of 632,628,530,494,608 is 25978827680.
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.
632 x 628 x 530 x 494 x 608 = 63180508917760
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
628 : 1, 2, 4, 157, 314, 628
530 : 1, 2, 5, 10, 53, 106, 265, 530
494 : 1, 2, 13, 19, 26, 38, 247, 494
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,628,530,494,608, is 2.
Now, the common factors can be found like this.
632:2x 2x 2x 79
628:2x 2x 157
530:2x 5x 53
494:2x 13x 19
608:2x 2x 2x 2x 2x 19
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 2x 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 63180508917760/(2x1216)
LCM = 63180508917760/2432
LCM = 25978827680
Thus, we can understand that the LCM of 632,628,530,494,608 is 25978827680.
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FAQs on LCM of 632, 628, 530, 494, 608
1. What is the LCM of 632, 628, 530, 494, 608?
Answer: LCM of 632, 628, 530, 494, 608 is 25978827680.
2. How to calculate the LCM of 632, 628, 530, 494, 608?
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 632, 628, 530, 494, 608.
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}.