Find the LCM of 875, 989, 338, 910, 233 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 875, 989, 338, 910, 233. So, keep reading to learn more.
Given numbers are 875,989,338,910,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,989,338,910,233 is 68151742750.
Find LCM of 875,989,338,910,233 with Prime Factorization
2 | 875, 989, 338, 910, 233 |
5 | 875, 989, 169, 455, 233 |
7 | 175, 989, 169, 91, 233 |
13 | 25, 989, 169, 13, 233 |
25, 989, 1, 13, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 25 x 989 x 1 x 13 x 233 = 68151742750
Therefore, the lowest common multiple of 875,989,338,910,233 is 68151742750.
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.
875 x 989 x 338 x 910 x 233 = 62018085902500
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
989 : 1, 23, 43, 989
338 : 1, 2, 13, 26, 169, 338
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,989,338,910,233, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
989:23x 43
338:2x 13x 13
910:2x 5x 7x 13
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 13 = 910
Therefore, the value for common factors is 910.
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 = 62018085902500/(1x910)
LCM = 62018085902500/910
LCM = 68151742750
Thus, we can understand that the LCM of 875,989,338,910,233 is 68151742750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 875, 989, 338, 910, 233?
Answer: LCM of 875, 989, 338, 910, 233 is 68151742750.
2. How to calculate the LCM of 875, 989, 338, 910, 233?
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 875, 989, 338, 910, 233.
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}.