Find the LCM of 536, 887, 864, 236, 936 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, 887, 864, 236, 936. So, keep reading to learn more.
Given numbers are 536,887,864,236,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,887,864,236,936 is 39382885152.
Find LCM of 536,887,864,236,936 with Prime Factorization
2 | 536, 887, 864, 236, 936 |
2 | 268, 887, 432, 118, 468 |
2 | 134, 887, 216, 59, 234 |
3 | 67, 887, 108, 59, 117 |
3 | 67, 887, 36, 59, 39 |
67, 887, 12, 59, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 67 x 887 x 12 x 59 x 13 = 39382885152
Therefore, the lowest common multiple of 536,887,864,236,936 is 39382885152.
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 887 x 864 x 236 x 936 = 90738167390208
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
887 : 1, 887
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
236 : 1, 2, 4, 59, 118, 236
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,887,864,236,936, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
887:887
864:2x 2x 2x 2x 2x 3x 3x 3
236:2x 2x 59
936:2x 2x 2x 3x 3x 13
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 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 90738167390208/(1x2304)
LCM = 90738167390208/2304
LCM = 39382885152
Thus, we can understand that the LCM of 536,887,864,236,936 is 39382885152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 536, 887, 864, 236, 936?
Answer: LCM of 536, 887, 864, 236, 936 is 39382885152.
2. How to calculate the LCM of 536, 887, 864, 236, 936?
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, 887, 864, 236, 936.
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}.