Find the LCM of 481, 551, 119, 551, 576 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 481, 551, 119, 551, 576. So, keep reading to learn more.
Given numbers are 481,551,119,551,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,551,119,551,576 is 18166284864.
Find LCM of 481,551,119,551,576 with Prime Factorization
19 | 481, 551, 119, 551, 576 |
29 | 481, 29, 119, 29, 576 |
481, 1, 119, 1, 576 |
Multiply the prime numbers at the bottom and the left side.
19 x 29 x 481 x 1 x 119 x 1 x 576 = 18166284864
Therefore, the lowest common multiple of 481,551,119,551,576 is 18166284864.
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.
481 x 551 x 119 x 551 x 576 = 10009622960064
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.
481 : 1, 13, 37, 481
551 : 1, 19, 29, 551
119 : 1, 7, 17, 119
551 : 1, 19, 29, 551
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,551,119,551,576, is 1.
Now, the common factors can be found like this.
481:13x 37
551:19x 29
119:7x 17
551:19x 29
576:2x 2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 29 = 551
Therefore, the value for common factors is 551.
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 = 10009622960064/(1x551)
LCM = 10009622960064/551
LCM = 18166284864
Thus, we can understand that the LCM of 481,551,119,551,576 is 18166284864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 551, 119, 551, 576?
Answer: LCM of 481, 551, 119, 551, 576 is 18166284864.
2. How to calculate the LCM of 481, 551, 119, 551, 576?
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 481, 551, 119, 551, 576.
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}.