LCM of 442, 309, 309, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 309, 309, 699 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 442, 309, 309, 699. So, keep reading to learn more.
Given numbers are 442,309,309,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,309,309,699 is 31822674.
Find LCM of 442,309,309,699 with Prime Factorization
| 3 | 442, 309, 309, 699 |
| 103 | 442, 103, 103, 233 |
| 442, 1, 1, 233 |
Multiply the prime numbers at the bottom and the left side.
3 x 103 x 442 x 1 x 1 x 233 = 31822674
Therefore, the lowest common multiple of 442,309,309,699 is 31822674.
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.
442 x 309 x 309 x 699 = 29499618798
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
309 : 1, 3, 103, 309
309 : 1, 3, 103, 309
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,309,309,699, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
309:3x 103
309:3x 103
699:3x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 103 = 927
Therefore, the value for common factors is 927.
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 = 29499618798/(1x927)
LCM = 29499618798/927
LCM = 31822674
Thus, we can understand that the LCM of 442,309,309,699 is 31822674.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 442, 309, 309, 699
1. What is the LCM of 442, 309, 309, 699?
Answer: LCM of 442, 309, 309, 699 is 31822674.
2. How to calculate the LCM of 442, 309, 309, 699?
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 442, 309, 309, 699.
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}.