LCM of 382, 574, 779, 701, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 574, 779, 701, 604 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 382, 574, 779, 701, 604. So, keep reading to learn more.
Given numbers are 382,574,779,701,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,574,779,701,604 is 440985004292.
Find LCM of 382,574,779,701,604 with Prime Factorization
| 2 | 382, 574, 779, 701, 604 |
| 41 | 191, 287, 779, 701, 302 |
| 191, 7, 19, 701, 302 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 191 x 7 x 19 x 701 x 302 = 440985004292
Therefore, the lowest common multiple of 382,574,779,701,604 is 440985004292.
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.
382 x 574 x 779 x 701 x 604 = 72321540703888
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.
382 : 1, 2, 191, 382
574 : 1, 2, 7, 14, 41, 82, 287, 574
779 : 1, 19, 41, 779
701 : 1, 701
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,574,779,701,604, is 1.
Now, the common factors can be found like this.
382:2x 191
574:2x 7x 41
779:19x 41
701:701
604:2x 2x 151
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 41 = 164
Therefore, the value for common factors is 164.
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 = 72321540703888/(1x164)
LCM = 72321540703888/164
LCM = 440985004292
Thus, we can understand that the LCM of 382,574,779,701,604 is 440985004292.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 382, 574, 779, 701, 604
1. What is the LCM of 382, 574, 779, 701, 604?
Answer: LCM of 382, 574, 779, 701, 604 is 440985004292.
2. How to calculate the LCM of 382, 574, 779, 701, 604?
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 382, 574, 779, 701, 604.
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}.