Find the LCM of 536, 612, 787, 592, 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 536, 612, 787, 592, 912. So, keep reading to learn more.
Given numbers are 536,612,787,592,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,612,787,592,912 is 90743656176.
Find LCM of 536,612,787,592,912 with Prime Factorization
2 | 536, 612, 787, 592, 912 |
2 | 268, 306, 787, 296, 456 |
2 | 134, 153, 787, 148, 228 |
2 | 67, 153, 787, 74, 114 |
3 | 67, 153, 787, 37, 57 |
67, 51, 787, 37, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 67 x 51 x 787 x 37 x 19 = 90743656176
Therefore, the lowest common multiple of 536,612,787,592,912 is 90743656176.
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.
536 x 612 x 787 x 592 x 912 = 139382255886336
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
787 : 1, 787
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
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 536,612,787,592,912, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
612:2x 2x 3x 3x 17
787:787
592:2x 2x 2x 2x 37
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 2x 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 139382255886336/(1x1536)
LCM = 139382255886336/1536
LCM = 90743656176
Thus, we can understand that the LCM of 536,612,787,592,912 is 90743656176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 536, 612, 787, 592, 912?
Answer: LCM of 536, 612, 787, 592, 912 is 90743656176.
2. How to calculate the LCM of 536, 612, 787, 592, 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 536, 612, 787, 592, 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}.