Find the LCM of 585, 626, 551, 452, 299 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 585, 626, 551, 452, 299. So, keep reading to learn more.
Given numbers are 585,626,551,452,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,626,551,452,299 is 1048861328580.
Find LCM of 585,626,551,452,299 with Prime Factorization
2 | 585, 626, 551, 452, 299 |
13 | 585, 313, 551, 226, 299 |
45, 313, 551, 226, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 45 x 313 x 551 x 226 x 23 = 1048861328580
Therefore, the lowest common multiple of 585,626,551,452,299 is 1048861328580.
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.
585 x 626 x 551 x 452 x 299 = 27270394543080
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
626 : 1, 2, 313, 626
551 : 1, 19, 29, 551
452 : 1, 2, 4, 113, 226, 452
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,626,551,452,299, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
626:2x 313
551:19x 29
452:2x 2x 113
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 27270394543080/(1x26)
LCM = 27270394543080/26
LCM = 1048861328580
Thus, we can understand that the LCM of 585,626,551,452,299 is 1048861328580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 626, 551, 452, 299?
Answer: LCM of 585, 626, 551, 452, 299 is 1048861328580.
2. How to calculate the LCM of 585, 626, 551, 452, 299?
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 585, 626, 551, 452, 299.
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}.