LCM of 313, 815, 652, 434, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 815, 652, 434, 721 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 313, 815, 652, 434, 721. So, keep reading to learn more.
Given numbers are 313,815,652,434,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,815,652,434,721 is 22806513380.
Find LCM of 313,815,652,434,721 with Prime Factorization
| 2 | 313, 815, 652, 434, 721 |
| 7 | 313, 815, 326, 217, 721 |
| 163 | 313, 815, 326, 31, 103 |
| 313, 5, 2, 31, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 163 x 313 x 5 x 2 x 31 x 103 = 22806513380
Therefore, the lowest common multiple of 313,815,652,434,721 is 22806513380.
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.
313 x 815 x 652 x 434 x 721 = 52044463533160
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.
313 : 1, 313
815 : 1, 5, 163, 815
652 : 1, 2, 4, 163, 326, 652
434 : 1, 2, 7, 14, 31, 62, 217, 434
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,815,652,434,721, is 1.
Now, the common factors can be found like this.
313:313
815:5x 163
652:2x 2x 163
434:2x 7x 31
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 163 = 2282
Therefore, the value for common factors is 2282.
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 = 52044463533160/(1x2282)
LCM = 52044463533160/2282
LCM = 22806513380
Thus, we can understand that the LCM of 313,815,652,434,721 is 22806513380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 313, 815, 652, 434, 721
1. What is the LCM of 313, 815, 652, 434, 721?
Answer: LCM of 313, 815, 652, 434, 721 is 22806513380.
2. How to calculate the LCM of 313, 815, 652, 434, 721?
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 313, 815, 652, 434, 721.
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}.