Find the LCM of 631, 715, 795, 520, 121 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 631, 715, 795, 520, 121. So, keep reading to learn more.
Given numbers are 631,715,795,520,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,715,795,520,121 is 6312700680.
Find LCM of 631,715,795,520,121 with Prime Factorization
5 | 631, 715, 795, 520, 121 |
11 | 631, 143, 159, 104, 121 |
13 | 631, 13, 159, 104, 11 |
631, 1, 159, 8, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 631 x 1 x 159 x 8 x 11 = 6312700680
Therefore, the lowest common multiple of 631,715,795,520,121 is 6312700680.
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.
631 x 715 x 795 x 520 x 121 = 22567904931000
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.
631 : 1, 631
715 : 1, 5, 11, 13, 55, 65, 143, 715
795 : 1, 3, 5, 15, 53, 159, 265, 795
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,715,795,520,121, is 1.
Now, the common factors can be found like this.
631:631
715:5x 11x 13
795:3x 5x 53
520:2x 2x 2x 5x 13
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 13 = 3575
Therefore, the value for common factors is 3575.
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 = 22567904931000/(1x3575)
LCM = 22567904931000/3575
LCM = 6312700680
Thus, we can understand that the LCM of 631,715,795,520,121 is 6312700680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 631, 715, 795, 520, 121?
Answer: LCM of 631, 715, 795, 520, 121 is 6312700680.
2. How to calculate the LCM of 631, 715, 795, 520, 121?
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 631, 715, 795, 520, 121.
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}.