LCM of 414, 442, 835, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 442, 835, 775 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 414, 442, 835, 775. So, keep reading to learn more.
Given numbers are 414,442,835,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,442,835,775 is 11841610950.
Find LCM of 414,442,835,775 with Prime Factorization
| 2 | 414, 442, 835, 775 |
| 5 | 207, 221, 835, 775 |
| 207, 221, 167, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 207 x 221 x 167 x 155 = 11841610950
Therefore, the lowest common multiple of 414,442,835,775 is 11841610950.
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.
414 x 442 x 835 x 775 = 118416109500
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
442 : 1, 2, 13, 17, 26, 34, 221, 442
835 : 1, 5, 167, 835
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,442,835,775, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
442:2x 13x 17
835:5x 167
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 118416109500/(1x10)
LCM = 118416109500/10
LCM = 11841610950
Thus, we can understand that the LCM of 414,442,835,775 is 11841610950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 442, 835, 775
1. What is the LCM of 414, 442, 835, 775?
Answer: LCM of 414, 442, 835, 775 is 11841610950.
2. How to calculate the LCM of 414, 442, 835, 775?
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 414, 442, 835, 775.
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}.