LCM of 799, 204, 361, 714, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 204, 361, 714, 235 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 799, 204, 361, 714, 235. So, keep reading to learn more.
Given numbers are 799,204,361,714,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,204,361,714,235 is 121144380.
Find LCM of 799,204,361,714,235 with Prime Factorization
| 2 | 799, 204, 361, 714, 235 |
| 3 | 799, 102, 361, 357, 235 |
| 17 | 799, 34, 361, 119, 235 |
| 47 | 47, 2, 361, 7, 235 |
| 1, 2, 361, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 47 x 1 x 2 x 361 x 7 x 5 = 121144380
Therefore, the lowest common multiple of 799,204,361,714,235 is 121144380.
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.
799 x 204 x 361 x 714 x 235 = 9873024681240
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.
799 : 1, 17, 47, 799
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
361 : 1, 19, 361
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,204,361,714,235, is 1.
Now, the common factors can be found like this.
799:17x 47
204:2x 2x 3x 17
361:19x 19
714:2x 3x 7x 17
235:5x 47
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 17x 17x 47 = 81498
Therefore, the value for common factors is 81498.
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 = 9873024681240/(1x81498)
LCM = 9873024681240/81498
LCM = 121144380
Thus, we can understand that the LCM of 799,204,361,714,235 is 121144380.
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FAQs on LCM of 799, 204, 361, 714, 235
1. What is the LCM of 799, 204, 361, 714, 235?
Answer: LCM of 799, 204, 361, 714, 235 is 121144380.
2. How to calculate the LCM of 799, 204, 361, 714, 235?
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 799, 204, 361, 714, 235.
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}.