Find the LCM of 814, 374, 395, 650, 260 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 814, 374, 395, 650, 260. So, keep reading to learn more.
Given numbers are 814,374,395,650,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,374,395,650,260 is 710581300.
Find LCM of 814,374,395,650,260 with Prime Factorization
2 | 814, 374, 395, 650, 260 |
5 | 407, 187, 395, 325, 130 |
11 | 407, 187, 79, 65, 26 |
13 | 37, 17, 79, 65, 26 |
37, 17, 79, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 37 x 17 x 79 x 5 x 2 = 710581300
Therefore, the lowest common multiple of 814,374,395,650,260 is 710581300.
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.
814 x 374 x 395 x 650 x 260 = 20322625180000
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
374 : 1, 2, 11, 17, 22, 34, 187, 374
395 : 1, 5, 79, 395
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,374,395,650,260, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
374:2x 11x 17
395:5x 79
650:2x 5x 5x 13
260:2x 2x 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.
2x 2x 2x 5x 5x 11x 13 = 28600
Therefore, the value for common factors is 28600.
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 = 20322625180000/(1x28600)
LCM = 20322625180000/28600
LCM = 710581300
Thus, we can understand that the LCM of 814,374,395,650,260 is 710581300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 374, 395, 650, 260?
Answer: LCM of 814, 374, 395, 650, 260 is 710581300.
2. How to calculate the LCM of 814, 374, 395, 650, 260?
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 814, 374, 395, 650, 260.
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}.