Find the LCM of 513, 209, 988, 719, 325 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 513, 209, 988, 719, 325. So, keep reading to learn more.
Given numbers are 513,209,988,719,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,209,988,719,325 is 5274512100.
Find LCM of 513,209,988,719,325 with Prime Factorization
13 | 513, 209, 988, 719, 325 |
19 | 513, 209, 76, 719, 25 |
27, 11, 4, 719, 25 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 27 x 11 x 4 x 719 x 25 = 5274512100
Therefore, the lowest common multiple of 513,209,988,719,325 is 5274512100.
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.
513 x 209 x 988 x 719 x 325 = 24753285285300
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
209 : 1, 11, 19, 209
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
719 : 1, 719
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,209,988,719,325, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
209:11x 19
988:2x 2x 13x 19
719:719
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19x 19 = 4693
Therefore, the value for common factors is 4693.
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 = 24753285285300/(1x4693)
LCM = 24753285285300/4693
LCM = 5274512100
Thus, we can understand that the LCM of 513,209,988,719,325 is 5274512100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 209, 988, 719, 325?
Answer: LCM of 513, 209, 988, 719, 325 is 5274512100.
2. How to calculate the LCM of 513, 209, 988, 719, 325?
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 513, 209, 988, 719, 325.
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}.