Find the LCM of 315, 726, 637, 965, 875 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 315, 726, 637, 965, 875. So, keep reading to learn more.
Given numbers are 315,726,637,965,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,726,637,965,875 is 33470687250.
Find LCM of 315,726,637,965,875 with Prime Factorization
3 | 315, 726, 637, 965, 875 |
5 | 105, 242, 637, 965, 875 |
7 | 21, 242, 637, 193, 175 |
3, 242, 91, 193, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 3 x 242 x 91 x 193 x 25 = 33470687250
Therefore, the lowest common multiple of 315,726,637,965,875 is 33470687250.
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.
315 x 726 x 637 x 965 x 875 = 123004775643750
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
637 : 1, 7, 13, 49, 91, 637
965 : 1, 5, 193, 965
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,726,637,965,875, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
726:2x 3x 11x 11
637:7x 7x 13
965:5x 193
875:5x 5x 5x 7
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 7x 7 = 3675
Therefore, the value for common factors is 3675.
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 = 123004775643750/(1x3675)
LCM = 123004775643750/3675
LCM = 33470687250
Thus, we can understand that the LCM of 315,726,637,965,875 is 33470687250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 726, 637, 965, 875?
Answer: LCM of 315, 726, 637, 965, 875 is 33470687250.
2. How to calculate the LCM of 315, 726, 637, 965, 875?
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 315, 726, 637, 965, 875.
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}.