Find the LCM of 589, 117, 365, 504, 491 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 589, 117, 365, 504, 491. So, keep reading to learn more.
Given numbers are 589,117,365,504,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,117,365,504,491 is 691613624520.
Find LCM of 589,117,365,504,491 with Prime Factorization
3 | 589, 117, 365, 504, 491 |
3 | 589, 39, 365, 168, 491 |
589, 13, 365, 56, 491 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 589 x 13 x 365 x 56 x 491 = 691613624520
Therefore, the lowest common multiple of 589,117,365,504,491 is 691613624520.
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.
589 x 117 x 365 x 504 x 491 = 6224522620680
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.
589 : 1, 19, 31, 589
117 : 1, 3, 9, 13, 39, 117
365 : 1, 5, 73, 365
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,117,365,504,491, is 1.
Now, the common factors can be found like this.
589:19x 31
117:3x 3x 13
365:5x 73
504:2x 2x 2x 3x 3x 7
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 6224522620680/(1x9)
LCM = 6224522620680/9
LCM = 691613624520
Thus, we can understand that the LCM of 589,117,365,504,491 is 691613624520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 117, 365, 504, 491?
Answer: LCM of 589, 117, 365, 504, 491 is 691613624520.
2. How to calculate the LCM of 589, 117, 365, 504, 491?
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 589, 117, 365, 504, 491.
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}.