Find the LCM of 968, 459, 516, 813, 472 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 968, 459, 516, 813, 472. So, keep reading to learn more.
Given numbers are 968,459,516,813,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,459,516,813,472 is 305476496424.
Find LCM of 968,459,516,813,472 with Prime Factorization
2 | 968, 459, 516, 813, 472 |
2 | 484, 459, 258, 813, 236 |
2 | 242, 459, 129, 813, 118 |
3 | 121, 459, 129, 813, 59 |
121, 153, 43, 271, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 121 x 153 x 43 x 271 x 59 = 305476496424
Therefore, the lowest common multiple of 968,459,516,813,472 is 305476496424.
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.
968 x 459 x 516 x 813 x 472 = 87977230970112
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
459 : 1, 3, 9, 17, 27, 51, 153, 459
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
813 : 1, 3, 271, 813
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,459,516,813,472, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
459:3x 3x 3x 17
516:2x 2x 3x 43
813:3x 271
472:2x 2x 2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 87977230970112/(1x288)
LCM = 87977230970112/288
LCM = 305476496424
Thus, we can understand that the LCM of 968,459,516,813,472 is 305476496424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 968, 459, 516, 813, 472?
Answer: LCM of 968, 459, 516, 813, 472 is 305476496424.
2. How to calculate the LCM of 968, 459, 516, 813, 472?
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 968, 459, 516, 813, 472.
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}.