Find the LCM of 329, 748, 726, 353, 857 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 329, 748, 726, 353, 857. So, keep reading to learn more.
Given numbers are 329,748,726,353,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,748,726,353,857 is 2456783931756.
Find LCM of 329,748,726,353,857 with Prime Factorization
2 | 329, 748, 726, 353, 857 |
11 | 329, 374, 363, 353, 857 |
329, 34, 33, 353, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 329 x 34 x 33 x 353 x 857 = 2456783931756
Therefore, the lowest common multiple of 329,748,726,353,857 is 2456783931756.
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.
329 x 748 x 726 x 353 x 857 = 54049246498632
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.
329 : 1, 7, 47, 329
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
353 : 1, 353
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,748,726,353,857, is 1.
Now, the common factors can be found like this.
329:7x 47
748:2x 2x 11x 17
726:2x 3x 11x 11
353:353
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 54049246498632/(1x22)
LCM = 54049246498632/22
LCM = 2456783931756
Thus, we can understand that the LCM of 329,748,726,353,857 is 2456783931756.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 748, 726, 353, 857?
Answer: LCM of 329, 748, 726, 353, 857 is 2456783931756.
2. How to calculate the LCM of 329, 748, 726, 353, 857?
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 329, 748, 726, 353, 857.
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}.