Find the LCM of 814, 455, 397, 368, 573 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, 455, 397, 368, 573. So, keep reading to learn more.
Given numbers are 814,455,397,368,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,455,397,368,573 is 15502393386480.
Find LCM of 814,455,397,368,573 with Prime Factorization
2 | 814, 455, 397, 368, 573 |
407, 455, 397, 184, 573 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 455 x 397 x 184 x 573 = 15502393386480
Therefore, the lowest common multiple of 814,455,397,368,573 is 15502393386480.
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 455 x 397 x 368 x 573 = 31004786772960
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
455 : 1, 5, 7, 13, 35, 65, 91, 455
397 : 1, 397
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,455,397,368,573, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
455:5x 7x 13
397:397
368:2x 2x 2x 2x 23
573:3x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 31004786772960/(1x2)
LCM = 31004786772960/2
LCM = 15502393386480
Thus, we can understand that the LCM of 814,455,397,368,573 is 15502393386480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 455, 397, 368, 573?
Answer: LCM of 814, 455, 397, 368, 573 is 15502393386480.
2. How to calculate the LCM of 814, 455, 397, 368, 573?
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, 455, 397, 368, 573.
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}.