LCM of 953, 782, 315, 519, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 782, 315, 519, 815 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 953, 782, 315, 519, 815. So, keep reading to learn more.
Given numbers are 953,782,315,519,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,782,315,519,815 is 6619785465510.
Find LCM of 953,782,315,519,815 with Prime Factorization
| 3 | 953, 782, 315, 519, 815 |
| 5 | 953, 782, 105, 173, 815 |
| 953, 782, 21, 173, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 953 x 782 x 21 x 173 x 163 = 6619785465510
Therefore, the lowest common multiple of 953,782,315,519,815 is 6619785465510.
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.
953 x 782 x 315 x 519 x 815 = 99296781982650
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.
953 : 1, 953
782 : 1, 2, 17, 23, 34, 46, 391, 782
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
519 : 1, 3, 173, 519
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,782,315,519,815, is 1.
Now, the common factors can be found like this.
953:953
782:2x 17x 23
315:3x 3x 5x 7
519:3x 173
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 99296781982650/(1x15)
LCM = 99296781982650/15
LCM = 6619785465510
Thus, we can understand that the LCM of 953,782,315,519,815 is 6619785465510.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 953, 782, 315, 519, 815
1. What is the LCM of 953, 782, 315, 519, 815?
Answer: LCM of 953, 782, 315, 519, 815 is 6619785465510.
2. How to calculate the LCM of 953, 782, 315, 519, 815?
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 953, 782, 315, 519, 815.
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}.