LCM of 629, 772, 912, 742, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 772, 912, 742, 585 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 629, 772, 912, 742, 585. So, keep reading to learn more.
Given numbers are 629,772,912,742,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,772,912,742,585 is 8009608960080.
Find LCM of 629,772,912,742,585 with Prime Factorization
| 2 | 629, 772, 912, 742, 585 |
| 2 | 629, 386, 456, 371, 585 |
| 3 | 629, 193, 228, 371, 585 |
| 629, 193, 76, 371, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 629 x 193 x 76 x 371 x 195 = 8009608960080
Therefore, the lowest common multiple of 629,772,912,742,585 is 8009608960080.
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.
629 x 772 x 912 x 742 x 585 = 192230615041920
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.
629 : 1, 17, 37, 629
772 : 1, 2, 4, 193, 386, 772
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
742 : 1, 2, 7, 14, 53, 106, 371, 742
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,772,912,742,585, is 1.
Now, the common factors can be found like this.
629:17x 37
772:2x 2x 193
912:2x 2x 2x 2x 3x 19
742:2x 7x 53
585:3x 3x 5x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 192230615041920/(1x24)
LCM = 192230615041920/24
LCM = 8009608960080
Thus, we can understand that the LCM of 629,772,912,742,585 is 8009608960080.
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FAQs on LCM of 629, 772, 912, 742, 585
1. What is the LCM of 629, 772, 912, 742, 585?
Answer: LCM of 629, 772, 912, 742, 585 is 8009608960080.
2. How to calculate the LCM of 629, 772, 912, 742, 585?
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 629, 772, 912, 742, 585.
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}.