Find the LCM of 391, 207, 595, 874, 523 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 391, 207, 595, 874, 523. So, keep reading to learn more.
Given numbers are 391,207,595,874,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,207,595,874,523 is 2447781210.
Find LCM of 391,207,595,874,523 with Prime Factorization
17 | 391, 207, 595, 874, 523 |
23 | 23, 207, 35, 874, 523 |
1, 9, 35, 38, 523 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 1 x 9 x 35 x 38 x 523 = 2447781210
Therefore, the lowest common multiple of 391,207,595,874,523 is 2447781210.
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.
391 x 207 x 595 x 874 x 523 = 22012896421530
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.
391 : 1, 17, 23, 391
207 : 1, 3, 9, 23, 69, 207
595 : 1, 5, 7, 17, 35, 85, 119, 595
874 : 1, 2, 19, 23, 38, 46, 437, 874
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,207,595,874,523, is 1.
Now, the common factors can be found like this.
391:17x 23
207:3x 3x 23
595:5x 7x 17
874:2x 19x 23
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 23x 23 = 8993
Therefore, the value for common factors is 8993.
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 = 22012896421530/(1x8993)
LCM = 22012896421530/8993
LCM = 2447781210
Thus, we can understand that the LCM of 391,207,595,874,523 is 2447781210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 207, 595, 874, 523?
Answer: LCM of 391, 207, 595, 874, 523 is 2447781210.
2. How to calculate the LCM of 391, 207, 595, 874, 523?
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 391, 207, 595, 874, 523.
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}.