Find the LCM of 399, 513, 261, 697 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 399, 513, 261, 697. So, keep reading to learn more.
Given numbers are 399,513,261,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,513,261,697 is 72584883.
Find LCM of 399,513,261,697 with Prime Factorization
3 | 399, 513, 261, 697 |
3 | 133, 171, 87, 697 |
19 | 133, 57, 29, 697 |
7, 3, 29, 697 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 7 x 3 x 29 x 697 = 72584883
Therefore, the lowest common multiple of 399,513,261,697 is 72584883.
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.
399 x 513 x 261 x 697 = 37236044979
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
513 : 1, 3, 9, 19, 27, 57, 171, 513
261 : 1, 3, 9, 29, 87, 261
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,513,261,697, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
513:3x 3x 3x 19
261:3x 3x 29
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19 = 513
Therefore, the value for common factors is 513.
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 = 37236044979/(1x513)
LCM = 37236044979/513
LCM = 72584883
Thus, we can understand that the LCM of 399,513,261,697 is 72584883.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 399, 513, 261, 697?
Answer: LCM of 399, 513, 261, 697 is 72584883.
2. How to calculate the LCM of 399, 513, 261, 697?
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 399, 513, 261, 697.
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}.