LCM of 848, 537, 851, 391, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 537, 851, 391, 296 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 848, 537, 851, 391, 296. So, keep reading to learn more.
Given numbers are 848,537,851,391,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,537,851,391,296 is 6587924592.
Find LCM of 848,537,851,391,296 with Prime Factorization
| 2 | 848, 537, 851, 391, 296 |
| 2 | 424, 537, 851, 391, 148 |
| 2 | 212, 537, 851, 391, 74 |
| 23 | 106, 537, 851, 391, 37 |
| 37 | 106, 537, 37, 17, 37 |
| 106, 537, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 37 x 106 x 537 x 1 x 17 x 1 = 6587924592
Therefore, the lowest common multiple of 848,537,851,391,296 is 6587924592.
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.
848 x 537 x 851 x 391 x 296 = 44850590622336
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
537 : 1, 3, 179, 537
851 : 1, 23, 37, 851
391 : 1, 17, 23, 391
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,537,851,391,296, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
537:3x 179
851:23x 37
391:17x 23
296:2x 2x 2x 37
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 23x 37 = 6808
Therefore, the value for common factors is 6808.
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 = 44850590622336/(1x6808)
LCM = 44850590622336/6808
LCM = 6587924592
Thus, we can understand that the LCM of 848,537,851,391,296 is 6587924592.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 848, 537, 851, 391, 296
1. What is the LCM of 848, 537, 851, 391, 296?
Answer: LCM of 848, 537, 851, 391, 296 is 6587924592.
2. How to calculate the LCM of 848, 537, 851, 391, 296?
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 848, 537, 851, 391, 296.
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}.