Find the LCM of 855, 757, 642, 315, 252 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 855, 757, 642, 315, 252. So, keep reading to learn more.
Given numbers are 855,757,642,315,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,757,642,315,252 is 1939116060.
Find LCM of 855,757,642,315,252 with Prime Factorization
2 | 855, 757, 642, 315, 252 |
3 | 855, 757, 321, 315, 126 |
3 | 285, 757, 107, 105, 42 |
5 | 95, 757, 107, 35, 14 |
7 | 19, 757, 107, 7, 14 |
19, 757, 107, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 757 x 107 x 1 x 2 = 1939116060
Therefore, the lowest common multiple of 855,757,642,315,252 is 1939116060.
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.
855 x 757 x 642 x 315 x 252 = 32984364180600
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
757 : 1, 757
642 : 1, 2, 3, 6, 107, 214, 321, 642
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,757,642,315,252, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
757:757
642:2x 3x 107
315:3x 3x 5x 7
252:2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 5x 7 = 17010
Therefore, the value for common factors is 17010.
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 = 32984364180600/(1x17010)
LCM = 32984364180600/17010
LCM = 1939116060
Thus, we can understand that the LCM of 855,757,642,315,252 is 1939116060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 757, 642, 315, 252?
Answer: LCM of 855, 757, 642, 315, 252 is 1939116060.
2. How to calculate the LCM of 855, 757, 642, 315, 252?
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 855, 757, 642, 315, 252.
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}.