LCM of 959, 518, 395, 629, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 518, 395, 629, 930 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 959, 518, 395, 629, 930. So, keep reading to learn more.
Given numbers are 959,518,395,629,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,518,395,629,930 is 44317912170.
Find LCM of 959,518,395,629,930 with Prime Factorization
| 2 | 959, 518, 395, 629, 930 |
| 5 | 959, 259, 395, 629, 465 |
| 7 | 959, 259, 79, 629, 93 |
| 37 | 137, 37, 79, 629, 93 |
| 137, 1, 79, 17, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 37 x 137 x 1 x 79 x 17 x 93 = 44317912170
Therefore, the lowest common multiple of 959,518,395,629,930 is 44317912170.
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.
959 x 518 x 395 x 629 x 930 = 114783392520300
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.
959 : 1, 7, 137, 959
518 : 1, 2, 7, 14, 37, 74, 259, 518
395 : 1, 5, 79, 395
629 : 1, 17, 37, 629
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,518,395,629,930, is 1.
Now, the common factors can be found like this.
959:7x 137
518:2x 7x 37
395:5x 79
629:17x 37
930:2x 3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 37 = 2590
Therefore, the value for common factors is 2590.
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 = 114783392520300/(1x2590)
LCM = 114783392520300/2590
LCM = 44317912170
Thus, we can understand that the LCM of 959,518,395,629,930 is 44317912170.
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FAQs on LCM of 959, 518, 395, 629, 930
1. What is the LCM of 959, 518, 395, 629, 930?
Answer: LCM of 959, 518, 395, 629, 930 is 44317912170.
2. How to calculate the LCM of 959, 518, 395, 629, 930?
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 959, 518, 395, 629, 930.
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}.