Find the LCM of 371, 561, 777, 471, 726 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, 561, 777, 471, 726. So, keep reading to learn more.
Given numbers are 371,561,777,471,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,561,777,471,726 is 26598725538.
Find LCM of 371,561,777,471,726 with Prime Factorization
3 | 371, 561, 777, 471, 726 |
7 | 371, 187, 259, 157, 242 |
11 | 53, 187, 37, 157, 242 |
53, 17, 37, 157, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 53 x 17 x 37 x 157 x 22 = 26598725538
Therefore, the lowest common multiple of 371,561,777,471,726 is 26598725538.
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 561 x 777 x 471 x 726 = 55298750393502
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
777 : 1, 3, 7, 21, 37, 111, 259, 777
471 : 1, 3, 157, 471
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,561,777,471,726, is 1.
Now, the common factors can be found like this.
371:7x 53
561:3x 11x 17
777:3x 7x 37
471:3x 157
726:2x 3x 11x 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 3x 3x 7x 11 = 2079
Therefore, the value for common factors is 2079.
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 = 55298750393502/(1x2079)
LCM = 55298750393502/2079
LCM = 26598725538
Thus, we can understand that the LCM of 371,561,777,471,726 is 26598725538.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 371, 561, 777, 471, 726?
Answer: LCM of 371, 561, 777, 471, 726 is 26598725538.
2. How to calculate the LCM of 371, 561, 777, 471, 726?
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, 561, 777, 471, 726.
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}.