Find the LCM of 850, 578, 968, 687, 102 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 850, 578, 968, 687, 102. So, keep reading to learn more.
Given numbers are 850,578,968,687,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,578,968,687,102 is 4804740600.
Find LCM of 850,578,968,687,102 with Prime Factorization
2 | 850, 578, 968, 687, 102 |
3 | 425, 289, 484, 687, 51 |
17 | 425, 289, 484, 229, 17 |
25, 1, 484, 229, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 25 x 1 x 484 x 229 x 17 = 4804740600
Therefore, the lowest common multiple of 850,578,968,687,102 is 4804740600.
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.
850 x 578 x 968 x 687 x 102 = 33325680801600
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
578 : 1, 2, 17, 34, 289, 578
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
687 : 1, 3, 229, 687
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,578,968,687,102, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
578:2x 17x 17
968:2x 2x 2x 11x 11
687:3x 229
102:2x 3x 17
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 17x 17 = 6936
Therefore, the value for common factors is 6936.
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 = 33325680801600/(1x6936)
LCM = 33325680801600/6936
LCM = 4804740600
Thus, we can understand that the LCM of 850,578,968,687,102 is 4804740600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 850, 578, 968, 687, 102?
Answer: LCM of 850, 578, 968, 687, 102 is 4804740600.
2. How to calculate the LCM of 850, 578, 968, 687, 102?
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 850, 578, 968, 687, 102.
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}.