Find the LCM of 598, 273, 480, 289, 541 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 598, 273, 480, 289, 541. So, keep reading to learn more.
Given numbers are 598,273,480,289,541
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,273,480,289,541 is 157074459360.
Find LCM of 598,273,480,289,541 with Prime Factorization
2 | 598, 273, 480, 289, 541 |
3 | 299, 273, 240, 289, 541 |
13 | 299, 91, 80, 289, 541 |
23, 7, 80, 289, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 7 x 80 x 289 x 541 = 157074459360
Therefore, the lowest common multiple of 598,273,480,289,541 is 157074459360.
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.
598 x 273 x 480 x 289 x 541 = 12251807830080
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
273 : 1, 3, 7, 13, 21, 39, 91, 273
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
289 : 1, 17, 289
541 : 1, 541
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,273,480,289,541, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
273:3x 7x 13
480:2x 2x 2x 2x 2x 3x 5
289:17x 17
541:541
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 12251807830080/(1x78)
LCM = 12251807830080/78
LCM = 157074459360
Thus, we can understand that the LCM of 598,273,480,289,541 is 157074459360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 273, 480, 289, 541?
Answer: LCM of 598, 273, 480, 289, 541 is 157074459360.
2. How to calculate the LCM of 598, 273, 480, 289, 541?
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 598, 273, 480, 289, 541.
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}.