LCM of 601, 731, 914, 357, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 601, 731, 914, 357, 442 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 601, 731, 914, 357, 442. So, keep reading to learn more.
Given numbers are 601,731,914,357,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 601,731,914,357,442 is 109622749782.
Find LCM of 601,731,914,357,442 with Prime Factorization
| 2 | 601, 731, 914, 357, 442 |
| 17 | 601, 731, 457, 357, 221 |
| 601, 43, 457, 21, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 601 x 43 x 457 x 21 x 13 = 109622749782
Therefore, the lowest common multiple of 601,731,914,357,442 is 109622749782.
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.
601 x 731 x 914 x 357 x 442 = 63361949373996
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.
601 : 1, 601
731 : 1, 17, 43, 731
914 : 1, 2, 457, 914
357 : 1, 3, 7, 17, 21, 51, 119, 357
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,731,914,357,442, is 1.
Now, the common factors can be found like this.
601:601
731:17x 43
914:2x 457
357:3x 7x 17
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 63361949373996/(1x578)
LCM = 63361949373996/578
LCM = 109622749782
Thus, we can understand that the LCM of 601,731,914,357,442 is 109622749782.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 601, 731, 914, 357, 442
1. What is the LCM of 601, 731, 914, 357, 442?
Answer: LCM of 601, 731, 914, 357, 442 is 109622749782.
2. How to calculate the LCM of 601, 731, 914, 357, 442?
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 601, 731, 914, 357, 442.
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}.