Find the LCM of 735, 459, 516, 214, 518 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 735, 459, 516, 214, 518. So, keep reading to learn more.
Given numbers are 735,459,516,214,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,459,516,214,518 is 76576007340.
Find LCM of 735,459,516,214,518 with Prime Factorization
2 | 735, 459, 516, 214, 518 |
3 | 735, 459, 258, 107, 259 |
7 | 245, 153, 86, 107, 259 |
35, 153, 86, 107, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 35 x 153 x 86 x 107 x 37 = 76576007340
Therefore, the lowest common multiple of 735,459,516,214,518 is 76576007340.
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.
735 x 459 x 516 x 214 x 518 = 19297153849680
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
459 : 1, 3, 9, 17, 27, 51, 153, 459
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
214 : 1, 2, 107, 214
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,459,516,214,518, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
459:3x 3x 3x 17
516:2x 2x 3x 43
214:2x 107
518:2x 7x 37
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 19297153849680/(1x252)
LCM = 19297153849680/252
LCM = 76576007340
Thus, we can understand that the LCM of 735,459,516,214,518 is 76576007340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 459, 516, 214, 518?
Answer: LCM of 735, 459, 516, 214, 518 is 76576007340.
2. How to calculate the LCM of 735, 459, 516, 214, 518?
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 735, 459, 516, 214, 518.
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}.