LCM of 389, 323, 714, 218, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 323, 714, 218, 995 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 389, 323, 714, 218, 995. So, keep reading to learn more.
Given numbers are 389,323,714,218,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,323,714,218,995 is 572335906170.
Find LCM of 389,323,714,218,995 with Prime Factorization
| 2 | 389, 323, 714, 218, 995 |
| 17 | 389, 323, 357, 109, 995 |
| 389, 19, 21, 109, 995 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 389 x 19 x 21 x 109 x 995 = 572335906170
Therefore, the lowest common multiple of 389,323,714,218,995 is 572335906170.
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.
389 x 323 x 714 x 218 x 995 = 19459420809780
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.
389 : 1, 389
323 : 1, 17, 19, 323
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
218 : 1, 2, 109, 218
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,323,714,218,995, is 1.
Now, the common factors can be found like this.
389:389
323:17x 19
714:2x 3x 7x 17
218:2x 109
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 19459420809780/(1x34)
LCM = 19459420809780/34
LCM = 572335906170
Thus, we can understand that the LCM of 389,323,714,218,995 is 572335906170.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 389, 323, 714, 218, 995
1. What is the LCM of 389, 323, 714, 218, 995?
Answer: LCM of 389, 323, 714, 218, 995 is 572335906170.
2. How to calculate the LCM of 389, 323, 714, 218, 995?
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 389, 323, 714, 218, 995.
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}.