Find the LCM of 371, 481, 785, 689, 476 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, 481, 785, 689, 476. So, keep reading to learn more.
Given numbers are 371,481,785,689,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,481,785,689,476 is 9525714380.
Find LCM of 371,481,785,689,476 with Prime Factorization
7 | 371, 481, 785, 689, 476 |
13 | 53, 481, 785, 689, 68 |
53 | 53, 37, 785, 53, 68 |
1, 37, 785, 1, 68 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 53 x 1 x 37 x 785 x 1 x 68 = 9525714380
Therefore, the lowest common multiple of 371,481,785,689,476 is 9525714380.
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 481 x 785 x 689 x 476 = 45942520454740
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
481 : 1, 13, 37, 481
785 : 1, 5, 157, 785
689 : 1, 13, 53, 689
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,481,785,689,476, is 1.
Now, the common factors can be found like this.
371:7x 53
481:13x 37
785:5x 157
689:13x 53
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 53 = 4823
Therefore, the value for common factors is 4823.
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 = 45942520454740/(1x4823)
LCM = 45942520454740/4823
LCM = 9525714380
Thus, we can understand that the LCM of 371,481,785,689,476 is 9525714380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 371, 481, 785, 689, 476?
Answer: LCM of 371, 481, 785, 689, 476 is 9525714380.
2. How to calculate the LCM of 371, 481, 785, 689, 476?
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, 481, 785, 689, 476.
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}.