Find the LCM of 512, 714, 368, 391, 937 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, 714, 368, 391, 937. So, keep reading to learn more.
Given numbers are 512,714,368,391,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,714,368,391,937 is 3939177984.
Find LCM of 512,714,368,391,937 with Prime Factorization
2 | 512, 714, 368, 391, 937 |
2 | 256, 357, 184, 391, 937 |
2 | 128, 357, 92, 391, 937 |
2 | 64, 357, 46, 391, 937 |
17 | 32, 357, 23, 391, 937 |
23 | 32, 21, 23, 23, 937 |
32, 21, 1, 1, 937 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 23 x 32 x 21 x 1 x 1 x 937 = 3939177984
Therefore, the lowest common multiple of 512,714,368,391,937 is 3939177984.
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 714 x 368 x 391 x 937 = 49286994935808
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
391 : 1, 17, 23, 391
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,714,368,391,937, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
714:2x 3x 7x 17
368:2x 2x 2x 2x 23
391:17x 23
937:937
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 17x 23 = 12512
Therefore, the value for common factors is 12512.
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 = 49286994935808/(1x12512)
LCM = 49286994935808/12512
LCM = 3939177984
Thus, we can understand that the LCM of 512,714,368,391,937 is 3939177984.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 714, 368, 391, 937?
Answer: LCM of 512, 714, 368, 391, 937 is 3939177984.
2. How to calculate the LCM of 512, 714, 368, 391, 937?
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, 714, 368, 391, 937.
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}.