Find the LCM of 678, 832, 286, 364 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 678, 832, 286, 364. So, keep reading to learn more.
Given numbers are 678,832,286,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,832,286,364 is 21717696.
Find LCM of 678,832,286,364 with Prime Factorization
2 | 678, 832, 286, 364 |
2 | 339, 416, 143, 182 |
13 | 339, 208, 143, 91 |
339, 16, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 339 x 16 x 11 x 7 = 21717696
Therefore, the lowest common multiple of 678,832,286,364 is 21717696.
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.
678 x 832 x 286 x 364 = 58724649984
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
286 : 1, 2, 11, 13, 22, 26, 143, 286
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,832,286,364, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
832:2x 2x 2x 2x 2x 2x 13
286:2x 11x 13
364:2x 2x 7x 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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 58724649984/(2x1352)
LCM = 58724649984/2704
LCM = 21717696
Thus, we can understand that the LCM of 678,832,286,364 is 21717696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 832, 286, 364?
Answer: LCM of 678, 832, 286, 364 is 21717696.
2. How to calculate the LCM of 678, 832, 286, 364?
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 678, 832, 286, 364.
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}.