Find the LCM of 507, 427, 427, 802, 715 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 507, 427, 427, 802, 715. So, keep reading to learn more.
Given numbers are 507,427,427,802,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,427,427,802,715 is 9549329790.
Find LCM of 507,427,427,802,715 with Prime Factorization
7 | 507, 427, 427, 802, 715 |
13 | 507, 61, 61, 802, 715 |
61 | 39, 61, 61, 802, 55 |
39, 1, 1, 802, 55 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 61 x 39 x 1 x 1 x 802 x 55 = 9549329790
Therefore, the lowest common multiple of 507,427,427,802,715 is 9549329790.
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.
507 x 427 x 427 x 802 x 715 = 53008329664290
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.
507 : 1, 3, 13, 39, 169, 507
427 : 1, 7, 61, 427
427 : 1, 7, 61, 427
802 : 1, 2, 401, 802
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,427,427,802,715, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
427:7x 61
427:7x 61
802:2x 401
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 61 = 5551
Therefore, the value for common factors is 5551.
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 = 53008329664290/(1x5551)
LCM = 53008329664290/5551
LCM = 9549329790
Thus, we can understand that the LCM of 507,427,427,802,715 is 9549329790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 427, 427, 802, 715?
Answer: LCM of 507, 427, 427, 802, 715 is 9549329790.
2. How to calculate the LCM of 507, 427, 427, 802, 715?
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 507, 427, 427, 802, 715.
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}.