Find the LCM of 317, 874, 581, 899, 551 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 317, 874, 581, 899, 551. So, keep reading to learn more.
Given numbers are 317,874,581,899,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,874,581,899,551 is 144712657502.
Find LCM of 317,874,581,899,551 with Prime Factorization
19 | 317, 874, 581, 899, 551 |
29 | 317, 46, 581, 899, 29 |
317, 46, 581, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
19 x 29 x 317 x 46 x 581 x 31 x 1 = 144712657502
Therefore, the lowest common multiple of 317,874,581,899,551 is 144712657502.
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.
317 x 874 x 581 x 899 x 551 = 79736674283602
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.
317 : 1, 317
874 : 1, 2, 19, 23, 38, 46, 437, 874
581 : 1, 7, 83, 581
899 : 1, 29, 31, 899
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,874,581,899,551, is 1.
Now, the common factors can be found like this.
317:317
874:2x 19x 23
581:7x 83
899:29x 31
551:19x 29
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 = 79736674283602/(1x551)
LCM = 79736674283602/551
LCM = 144712657502
Thus, we can understand that the LCM of 317,874,581,899,551 is 144712657502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 874, 581, 899, 551?
Answer: LCM of 317, 874, 581, 899, 551 is 144712657502.
2. How to calculate the LCM of 317, 874, 581, 899, 551?
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 317, 874, 581, 899, 551.
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}.