Find the LCM of 831, 851, 628, 942, 510 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 831, 851, 628, 942, 510. So, keep reading to learn more.
Given numbers are 831,851,628,942,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,851,628,942,510 is 37749321780.
Find LCM of 831,851,628,942,510 with Prime Factorization
2 | 831, 851, 628, 942, 510 |
3 | 831, 851, 314, 471, 255 |
157 | 277, 851, 314, 157, 85 |
277, 851, 2, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 277 x 851 x 2 x 1 x 85 = 37749321780
Therefore, the lowest common multiple of 831,851,628,942,510 is 37749321780.
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.
831 x 851 x 628 x 942 x 510 = 213359166700560
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.
831 : 1, 3, 277, 831
851 : 1, 23, 37, 851
628 : 1, 2, 4, 157, 314, 628
942 : 1, 2, 3, 6, 157, 314, 471, 942
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,851,628,942,510, is 1.
Now, the common factors can be found like this.
831:3x 277
851:23x 37
628:2x 2x 157
942:2x 3x 157
510:2x 3x 5x 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 3x 3x 157 = 5652
Therefore, the value for common factors is 5652.
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 = 213359166700560/(1x5652)
LCM = 213359166700560/5652
LCM = 37749321780
Thus, we can understand that the LCM of 831,851,628,942,510 is 37749321780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 831, 851, 628, 942, 510?
Answer: LCM of 831, 851, 628, 942, 510 is 37749321780.
2. How to calculate the LCM of 831, 851, 628, 942, 510?
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 831, 851, 628, 942, 510.
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}.