Find the LCM of 638, 158, 788, 682, 619 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 638, 158, 788, 682, 619. So, keep reading to learn more.
Given numbers are 638,158,788,682,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,158,788,682,619 is 381062607332.
Find LCM of 638,158,788,682,619 with Prime Factorization
2 | 638, 158, 788, 682, 619 |
11 | 319, 79, 394, 341, 619 |
29, 79, 394, 31, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 79 x 394 x 31 x 619 = 381062607332
Therefore, the lowest common multiple of 638,158,788,682,619 is 381062607332.
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.
638 x 158 x 788 x 682 x 619 = 33533509445216
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
158 : 1, 2, 79, 158
788 : 1, 2, 4, 197, 394, 788
682 : 1, 2, 11, 22, 31, 62, 341, 682
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,158,788,682,619, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
158:2x 79
788:2x 2x 197
682:2x 11x 31
619:619
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 33533509445216/(1x88)
LCM = 33533509445216/88
LCM = 381062607332
Thus, we can understand that the LCM of 638,158,788,682,619 is 381062607332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 158, 788, 682, 619?
Answer: LCM of 638, 158, 788, 682, 619 is 381062607332.
2. How to calculate the LCM of 638, 158, 788, 682, 619?
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 638, 158, 788, 682, 619.
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}.