Find the LCM of 341, 880, 463, 312, 512 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 341, 880, 463, 312, 512. So, keep reading to learn more.
Given numbers are 341,880,463,312,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,880,463,312,512 is 15763038720.
Find LCM of 341,880,463,312,512 with Prime Factorization
2 | 341, 880, 463, 312, 512 |
2 | 341, 440, 463, 156, 256 |
2 | 341, 220, 463, 78, 128 |
2 | 341, 110, 463, 39, 64 |
11 | 341, 55, 463, 39, 32 |
31, 5, 463, 39, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 31 x 5 x 463 x 39 x 32 = 15763038720
Therefore, the lowest common multiple of 341,880,463,312,512 is 15763038720.
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.
341 x 880 x 463 x 312 x 512 = 22194358517760
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.
341 : 1, 11, 31, 341
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
463 : 1, 463
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,880,463,312,512, is 1.
Now, the common factors can be found like this.
341:11x 31
880:2x 2x 2x 2x 5x 11
463:463
312:2x 2x 2x 3x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 11 = 1408
Therefore, the value for common factors is 1408.
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 = 22194358517760/(1x1408)
LCM = 22194358517760/1408
LCM = 15763038720
Thus, we can understand that the LCM of 341,880,463,312,512 is 15763038720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 880, 463, 312, 512?
Answer: LCM of 341, 880, 463, 312, 512 is 15763038720.
2. How to calculate the LCM of 341, 880, 463, 312, 512?
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 341, 880, 463, 312, 512.
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}.