Find the LCM of 704, 257, 341, 645 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 704, 257, 341, 645. So, keep reading to learn more.
Given numbers are 704,257,341,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,257,341,645 is 3617655360.
Find LCM of 704,257,341,645 with Prime Factorization
11 | 704, 257, 341, 645 |
64, 257, 31, 645 |
Multiply the prime numbers at the bottom and the left side.
11 x 64 x 257 x 31 x 645 = 3617655360
Therefore, the lowest common multiple of 704,257,341,645 is 3617655360.
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.
704 x 257 x 341 x 645 = 39794208960
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
257 : 1, 257
341 : 1, 11, 31, 341
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,257,341,645, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
257:257
341:11x 31
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 39794208960/(1x11)
LCM = 39794208960/11
LCM = 3617655360
Thus, we can understand that the LCM of 704,257,341,645 is 3617655360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 257, 341, 645?
Answer: LCM of 704, 257, 341, 645 is 3617655360.
2. How to calculate the LCM of 704, 257, 341, 645?
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 704, 257, 341, 645.
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}.