Find the LCM of 512, 634, 112, 371, 351 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 512, 634, 112, 371, 351. So, keep reading to learn more.
Given numbers are 512,634,112,371,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,634,112,371,351 is 21135389184.
Find LCM of 512,634,112,371,351 with Prime Factorization
2 | 512, 634, 112, 371, 351 |
2 | 256, 317, 56, 371, 351 |
2 | 128, 317, 28, 371, 351 |
2 | 64, 317, 14, 371, 351 |
7 | 32, 317, 7, 371, 351 |
32, 317, 1, 53, 351 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 32 x 317 x 1 x 53 x 351 = 21135389184
Therefore, the lowest common multiple of 512,634,112,371,351 is 21135389184.
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.
512 x 634 x 112 x 371 x 351 = 4734327177216
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
634 : 1, 2, 317, 634
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
371 : 1, 7, 53, 371
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,634,112,371,351, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
634:2x 317
112:2x 2x 2x 2x 7
371:7x 53
351:3x 3x 3x 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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 4734327177216/(1x224)
LCM = 4734327177216/224
LCM = 21135389184
Thus, we can understand that the LCM of 512,634,112,371,351 is 21135389184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 634, 112, 371, 351?
Answer: LCM of 512, 634, 112, 371, 351 is 21135389184.
2. How to calculate the LCM of 512, 634, 112, 371, 351?
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 512, 634, 112, 371, 351.
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}.