LCM of 609, 367, 850, 715, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 367, 850, 715, 442 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 609, 367, 850, 715, 442. So, keep reading to learn more.
Given numbers are 609,367,850,715,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,367,850,715,442 is 27166789650.
Find LCM of 609,367,850,715,442 with Prime Factorization
| 2 | 609, 367, 850, 715, 442 |
| 5 | 609, 367, 425, 715, 221 |
| 13 | 609, 367, 85, 143, 221 |
| 17 | 609, 367, 85, 11, 17 |
| 609, 367, 5, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 609 x 367 x 5 x 11 x 1 = 27166789650
Therefore, the lowest common multiple of 609,367,850,715,442 is 27166789650.
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.
609 x 367 x 850 x 715 x 442 = 60038605126500
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
367 : 1, 367
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
715 : 1, 5, 11, 13, 55, 65, 143, 715
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,367,850,715,442, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
367:367
850:2x 5x 5x 17
715:5x 11x 13
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 17 = 2210
Therefore, the value for common factors is 2210.
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 = 60038605126500/(1x2210)
LCM = 60038605126500/2210
LCM = 27166789650
Thus, we can understand that the LCM of 609,367,850,715,442 is 27166789650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 609, 367, 850, 715, 442
1. What is the LCM of 609, 367, 850, 715, 442?
Answer: LCM of 609, 367, 850, 715, 442 is 27166789650.
2. How to calculate the LCM of 609, 367, 850, 715, 442?
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 609, 367, 850, 715, 442.
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}.