Find the LCM of 507, 260, 176, 323, 880 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 507, 260, 176, 323, 880. So, keep reading to learn more.
Given numbers are 507,260,176,323,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,260,176,323,880 is 144109680.
Find LCM of 507,260,176,323,880 with Prime Factorization
2 | 507, 260, 176, 323, 880 |
2 | 507, 130, 88, 323, 440 |
2 | 507, 65, 44, 323, 220 |
2 | 507, 65, 22, 323, 110 |
5 | 507, 65, 11, 323, 55 |
11 | 507, 13, 11, 323, 11 |
13 | 507, 13, 1, 323, 1 |
39, 1, 1, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 13 x 39 x 1 x 1 x 323 x 1 = 144109680
Therefore, the lowest common multiple of 507,260,176,323,880 is 144109680.
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.
507 x 260 x 176 x 323 x 880 = 6594458956800
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.
507 : 1, 3, 13, 39, 169, 507
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
323 : 1, 17, 19, 323
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,260,176,323,880, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
260:2x 2x 5x 13
176:2x 2x 2x 2x 11
323:17x 19
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 5x 11x 13 = 45760
Therefore, the value for common factors is 45760.
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 = 6594458956800/(1x45760)
LCM = 6594458956800/45760
LCM = 144109680
Thus, we can understand that the LCM of 507,260,176,323,880 is 144109680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 260, 176, 323, 880?
Answer: LCM of 507, 260, 176, 323, 880 is 144109680.
2. How to calculate the LCM of 507, 260, 176, 323, 880?
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 507, 260, 176, 323, 880.
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}.