LCM of 323, 714, 624, 788, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 714, 624, 788, 213 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 323, 714, 624, 788, 213. So, keep reading to learn more.
Given numbers are 323,714,624,788,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,714,624,788,213 is 19733754768.
Find LCM of 323,714,624,788,213 with Prime Factorization
| 2 | 323, 714, 624, 788, 213 |
| 2 | 323, 357, 312, 394, 213 |
| 3 | 323, 357, 156, 197, 213 |
| 17 | 323, 119, 52, 197, 71 |
| 19, 7, 52, 197, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 7 x 52 x 197 x 71 = 19733754768
Therefore, the lowest common multiple of 323,714,624,788,213 is 19733754768.
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.
323 x 714 x 624 x 788 x 213 = 24154115836032
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.
323 : 1, 17, 19, 323
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
788 : 1, 2, 4, 197, 394, 788
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,714,624,788,213, is 1.
Now, the common factors can be found like this.
323:17x 19
714:2x 3x 7x 17
624:2x 2x 2x 2x 3x 13
788:2x 2x 197
213:3x 71
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 2x 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 24154115836032/(1x1224)
LCM = 24154115836032/1224
LCM = 19733754768
Thus, we can understand that the LCM of 323,714,624,788,213 is 19733754768.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 323, 714, 624, 788, 213
1. What is the LCM of 323, 714, 624, 788, 213?
Answer: LCM of 323, 714, 624, 788, 213 is 19733754768.
2. How to calculate the LCM of 323, 714, 624, 788, 213?
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 323, 714, 624, 788, 213.
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}.