Find the LCM of 993, 225, 339, 710, 234 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 993, 225, 339, 710, 234. So, keep reading to learn more.
Given numbers are 993,225,339,710,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,225,339,710,234 is 15535336050.
Find LCM of 993,225,339,710,234 with Prime Factorization
2 | 993, 225, 339, 710, 234 |
3 | 993, 225, 339, 355, 117 |
3 | 331, 75, 113, 355, 39 |
5 | 331, 25, 113, 355, 13 |
331, 5, 113, 71, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 331 x 5 x 113 x 71 x 13 = 15535336050
Therefore, the lowest common multiple of 993,225,339,710,234 is 15535336050.
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.
993 x 225 x 339 x 710 x 234 = 12583622200500
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.
993 : 1, 3, 331, 993
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
339 : 1, 3, 113, 339
710 : 1, 2, 5, 10, 71, 142, 355, 710
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,225,339,710,234, is 1.
Now, the common factors can be found like this.
993:3x 331
225:3x 3x 5x 5
339:3x 113
710:2x 5x 71
234:2x 3x 3x 13
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 5 = 810
Therefore, the value for common factors is 810.
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 = 12583622200500/(1x810)
LCM = 12583622200500/810
LCM = 15535336050
Thus, we can understand that the LCM of 993,225,339,710,234 is 15535336050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 225, 339, 710, 234?
Answer: LCM of 993, 225, 339, 710, 234 is 15535336050.
2. How to calculate the LCM of 993, 225, 339, 710, 234?
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 993, 225, 339, 710, 234.
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}.