Find the LCM of 507, 968, 477, 783, 651 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, 968, 477, 783, 651. So, keep reading to learn more.
Given numbers are 507,968,477,783,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,968,477,783,651 is 1473192256536.
Find LCM of 507,968,477,783,651 with Prime Factorization
3 | 507, 968, 477, 783, 651 |
3 | 169, 968, 159, 261, 217 |
169, 968, 53, 87, 217 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 169 x 968 x 53 x 87 x 217 = 1473192256536
Therefore, the lowest common multiple of 507,968,477,783,651 is 1473192256536.
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 968 x 477 x 783 x 651 = 119328572779416
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
477 : 1, 3, 9, 53, 159, 477
783 : 1, 3, 9, 27, 29, 87, 261, 783
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,968,477,783,651, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
968:2x 2x 2x 11x 11
477:3x 3x 53
783:3x 3x 3x 29
651:3x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 119328572779416/(1x81)
LCM = 119328572779416/81
LCM = 1473192256536
Thus, we can understand that the LCM of 507,968,477,783,651 is 1473192256536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 968, 477, 783, 651?
Answer: LCM of 507, 968, 477, 783, 651 is 1473192256536.
2. How to calculate the LCM of 507, 968, 477, 783, 651?
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, 968, 477, 783, 651.
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}.