Find the LCM of 371, 429, 741, 826, 539 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 371, 429, 741, 826, 539. So, keep reading to learn more.
Given numbers are 371,429,741,826,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,429,741,826,539 is 2497841346.
Find LCM of 371,429,741,826,539 with Prime Factorization
3 | 371, 429, 741, 826, 539 |
7 | 371, 143, 247, 826, 539 |
11 | 53, 143, 247, 118, 77 |
13 | 53, 13, 247, 118, 7 |
53, 1, 19, 118, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 13 x 53 x 1 x 19 x 118 x 7 = 2497841346
Therefore, the lowest common multiple of 371,429,741,826,539 is 2497841346.
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.
371 x 429 x 741 x 826 x 539 = 52507122934266
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.
371 : 1, 7, 53, 371
429 : 1, 3, 11, 13, 33, 39, 143, 429
741 : 1, 3, 13, 19, 39, 57, 247, 741
826 : 1, 2, 7, 14, 59, 118, 413, 826
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,429,741,826,539, is 1.
Now, the common factors can be found like this.
371:7x 53
429:3x 11x 13
741:3x 13x 19
826:2x 7x 59
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 11x 13 = 21021
Therefore, the value for common factors is 21021.
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 = 52507122934266/(1x21021)
LCM = 52507122934266/21021
LCM = 2497841346
Thus, we can understand that the LCM of 371,429,741,826,539 is 2497841346.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 371, 429, 741, 826, 539?
Answer: LCM of 371, 429, 741, 826, 539 is 2497841346.
2. How to calculate the LCM of 371, 429, 741, 826, 539?
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 371, 429, 741, 826, 539.
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}.