LCM of 442, 228, 988, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 228, 988, 810 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, 228, 988, 810. So, keep reading to learn more.
Given numbers are 442,228,988,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,228,988,810 is 6802380.
Find LCM of 442,228,988,810 with Prime Factorization
| 2 | 442, 228, 988, 810 |
| 2 | 221, 114, 494, 405 |
| 3 | 221, 57, 247, 405 |
| 13 | 221, 19, 247, 135 |
| 19 | 17, 19, 19, 135 |
| 17, 1, 1, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 17 x 1 x 1 x 135 = 6802380
Therefore, the lowest common multiple of 442,228,988,810 is 6802380.
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 228 x 988 x 810 = 80649017280
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
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,228,988,810, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
228:2x 2x 3x 19
988:2x 2x 13x 19
810:2x 3x 3x 3x 3x 5
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 3x 13x 19 = 5928
Therefore, the value for common factors is 5928.
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 = 80649017280/(2x5928)
LCM = 80649017280/11856
LCM = 6802380
Thus, we can understand that the LCM of 442,228,988,810 is 6802380.
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FAQs on LCM of 442, 228, 988, 810
1. What is the LCM of 442, 228, 988, 810?
Answer: LCM of 442, 228, 988, 810 is 6802380.
2. How to calculate the LCM of 442, 228, 988, 810?
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, 228, 988, 810.
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}.