LCM of 515, 130, 961, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 130, 961, 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 515, 130, 961, 930. So, keep reading to learn more.
Given numbers are 515,130,961,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,130,961,930 is 38603370.
Find LCM of 515,130,961,930 with Prime Factorization
| 2 | 515, 130, 961, 930 |
| 5 | 515, 65, 961, 465 |
| 31 | 103, 13, 961, 93 |
| 103, 13, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 103 x 13 x 31 x 3 = 38603370
Therefore, the lowest common multiple of 515,130,961,930 is 38603370.
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.
515 x 130 x 961 x 930 = 59835223500
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.
515 : 1, 5, 103, 515
130 : 1, 2, 5, 10, 13, 26, 65, 130
961 : 1, 31, 961
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 515,130,961,930, is 1.
Now, the common factors can be found like this.
515:5x 103
130:2x 5x 13
961:31x 31
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 5x 31 = 1550
Therefore, the value for common factors is 1550.
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 = 59835223500/(1x1550)
LCM = 59835223500/1550
LCM = 38603370
Thus, we can understand that the LCM of 515,130,961,930 is 38603370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 130, 961, 930
1. What is the LCM of 515, 130, 961, 930?
Answer: LCM of 515, 130, 961, 930 is 38603370.
2. How to calculate the LCM of 515, 130, 961, 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 515, 130, 961, 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}.