Find the LCM of 689, 611, 513, 616, 912 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 689, 611, 513, 616, 912. So, keep reading to learn more.
Given numbers are 689,611,513,616,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,611,513,616,912 is 20466574128.
Find LCM of 689,611,513,616,912 with Prime Factorization
2 | 689, 611, 513, 616, 912 |
2 | 689, 611, 513, 308, 456 |
2 | 689, 611, 513, 154, 228 |
3 | 689, 611, 513, 77, 114 |
13 | 689, 611, 171, 77, 38 |
19 | 53, 47, 171, 77, 38 |
53, 47, 9, 77, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 19 x 53 x 47 x 9 x 77 x 2 = 20466574128
Therefore, the lowest common multiple of 689,611,513,616,912 is 20466574128.
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.
689 x 611 x 513 x 616 x 912 = 121325851430784
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.
689 : 1, 13, 53, 689
611 : 1, 13, 47, 611
513 : 1, 3, 9, 19, 27, 57, 171, 513
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,611,513,616,912, is 1.
Now, the common factors can be found like this.
689:13x 53
611:13x 47
513:3x 3x 3x 19
616:2x 2x 2x 7x 11
912:2x 2x 2x 2x 3x 19
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 3x 13x 19 = 5928
Therefore, the value for common factors is 5928.
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 = 121325851430784/(1x5928)
LCM = 121325851430784/5928
LCM = 20466574128
Thus, we can understand that the LCM of 689,611,513,616,912 is 20466574128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 611, 513, 616, 912?
Answer: LCM of 689, 611, 513, 616, 912 is 20466574128.
2. How to calculate the LCM of 689, 611, 513, 616, 912?
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 689, 611, 513, 616, 912.
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}.