Find the LCM of 515, 425, 253, 465, 966 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, 425, 253, 465, 966. So, keep reading to learn more.
Given numbers are 515,425,253,465,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,425,253,465,966 is 14419747650.
Find LCM of 515,425,253,465,966 with Prime Factorization
3 | 515, 425, 253, 465, 966 |
5 | 515, 425, 253, 155, 322 |
23 | 103, 85, 253, 31, 322 |
103, 85, 11, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 103 x 85 x 11 x 31 x 14 = 14419747650
Therefore, the lowest common multiple of 515,425,253,465,966 is 14419747650.
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 425 x 253 x 465 x 966 = 24874064696250
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
425 : 1, 5, 17, 25, 85, 425
253 : 1, 11, 23, 253
465 : 1, 3, 5, 15, 31, 93, 155, 465
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,425,253,465,966, is 1.
Now, the common factors can be found like this.
515:5x 103
425:5x 5x 17
253:11x 23
465:3x 5x 31
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 23 = 1725
Therefore, the value for common factors is 1725.
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 = 24874064696250/(1x1725)
LCM = 24874064696250/1725
LCM = 14419747650
Thus, we can understand that the LCM of 515,425,253,465,966 is 14419747650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 425, 253, 465, 966?
Answer: LCM of 515, 425, 253, 465, 966 is 14419747650.
2. How to calculate the LCM of 515, 425, 253, 465, 966?
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, 425, 253, 465, 966.
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}.