Find the LCM of 463, 198, 441, 924, 565 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 463, 198, 441, 924, 565. So, keep reading to learn more.
Given numbers are 463,198,441,924,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,198,441,924,565 is 5075989380.
Find LCM of 463,198,441,924,565 with Prime Factorization
2 | 463, 198, 441, 924, 565 |
3 | 463, 99, 441, 462, 565 |
3 | 463, 33, 147, 154, 565 |
7 | 463, 11, 49, 154, 565 |
11 | 463, 11, 7, 22, 565 |
463, 1, 7, 2, 565 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 463 x 1 x 7 x 2 x 565 = 5075989380
Therefore, the lowest common multiple of 463,198,441,924,565 is 5075989380.
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.
463 x 198 x 441 x 924 x 565 = 21105963842040
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.
463 : 1, 463
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,198,441,924,565, is 1.
Now, the common factors can be found like this.
463:463
198:2x 3x 3x 11
441:3x 3x 7x 7
924:2x 2x 3x 7x 11
565:5x 113
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 3x 3x 7x 11 = 4158
Therefore, the value for common factors is 4158.
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 = 21105963842040/(1x4158)
LCM = 21105963842040/4158
LCM = 5075989380
Thus, we can understand that the LCM of 463,198,441,924,565 is 5075989380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 198, 441, 924, 565?
Answer: LCM of 463, 198, 441, 924, 565 is 5075989380.
2. How to calculate the LCM of 463, 198, 441, 924, 565?
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 463, 198, 441, 924, 565.
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}.