Find the LCM of 851, 646, 368, 285, 855 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 851, 646, 368, 285, 855. So, keep reading to learn more.
Given numbers are 851,646,368,285,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,646,368,285,855 is 197908560.
Find LCM of 851,646,368,285,855 with Prime Factorization
2 | 851, 646, 368, 285, 855 |
3 | 851, 323, 184, 285, 855 |
5 | 851, 323, 184, 95, 285 |
19 | 851, 323, 184, 19, 57 |
23 | 851, 17, 184, 1, 3 |
37, 17, 8, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 23 x 37 x 17 x 8 x 1 x 3 = 197908560
Therefore, the lowest common multiple of 851,646,368,285,855 is 197908560.
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.
851 x 646 x 368 x 285 x 855 = 49297043210400
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.
851 : 1, 23, 37, 851
646 : 1, 2, 17, 19, 34, 38, 323, 646
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
285 : 1, 3, 5, 15, 19, 57, 95, 285
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,646,368,285,855, is 1.
Now, the common factors can be found like this.
851:23x 37
646:2x 17x 19
368:2x 2x 2x 2x 23
285:3x 5x 19
855:3x 3x 5x 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 3x 5x 19x 19x 23 = 249090
Therefore, the value for common factors is 249090.
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 = 49297043210400/(1x249090)
LCM = 49297043210400/249090
LCM = 197908560
Thus, we can understand that the LCM of 851,646,368,285,855 is 197908560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 851, 646, 368, 285, 855?
Answer: LCM of 851, 646, 368, 285, 855 is 197908560.
2. How to calculate the LCM of 851, 646, 368, 285, 855?
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 851, 646, 368, 285, 855.
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}.