LCM of 598, 460, 616, 208, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 460, 616, 208, 629 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 598, 460, 616, 208, 629. So, keep reading to learn more.
Given numbers are 598,460,616,208,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,460,616,208,629 is 1158517360.
Find LCM of 598,460,616,208,629 with Prime Factorization
| 2 | 598, 460, 616, 208, 629 |
| 2 | 299, 230, 308, 104, 629 |
| 2 | 299, 115, 154, 52, 629 |
| 13 | 299, 115, 77, 26, 629 |
| 23 | 23, 115, 77, 2, 629 |
| 1, 5, 77, 2, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 23 x 1 x 5 x 77 x 2 x 629 = 1158517360
Therefore, the lowest common multiple of 598,460,616,208,629 is 1158517360.
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.
598 x 460 x 616 x 208 x 629 = 22169388200960
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,460,616,208,629, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
460:2x 2x 5x 23
616:2x 2x 2x 7x 11
208:2x 2x 2x 2x 13
629:17x 37
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 13x 23 = 19136
Therefore, the value for common factors is 19136.
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 = 22169388200960/(1x19136)
LCM = 22169388200960/19136
LCM = 1158517360
Thus, we can understand that the LCM of 598,460,616,208,629 is 1158517360.
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FAQs on LCM of 598, 460, 616, 208, 629
1. What is the LCM of 598, 460, 616, 208, 629?
Answer: LCM of 598, 460, 616, 208, 629 is 1158517360.
2. How to calculate the LCM of 598, 460, 616, 208, 629?
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 598, 460, 616, 208, 629.
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}.