Find the LCM of 638, 493, 634, 377 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, 493, 634, 377. So, keep reading to learn more.
Given numbers are 638,493,634,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,493,634,377 is 44696366.
Find LCM of 638,493,634,377 with Prime Factorization
2 | 638, 493, 634, 377 |
29 | 319, 493, 317, 377 |
11, 17, 317, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 11 x 17 x 317 x 13 = 44696366
Therefore, the lowest common multiple of 638,493,634,377 is 44696366.
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 493 x 634 x 377 = 75179287612
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
493 : 1, 17, 29, 493
634 : 1, 2, 317, 634
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,493,634,377, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
493:17x 29
634:2x 317
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29x 29 = 1682
Therefore, the value for common factors is 1682.
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 = 75179287612/(1x1682)
LCM = 75179287612/1682
LCM = 44696366
Thus, we can understand that the LCM of 638,493,634,377 is 44696366.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 493, 634, 377?
Answer: LCM of 638, 493, 634, 377 is 44696366.
2. How to calculate the LCM of 638, 493, 634, 377?
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, 493, 634, 377.
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}.