Find the LCM of 638, 838, 713, 767, 491 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, 838, 713, 767, 491. So, keep reading to learn more.
Given numbers are 638,838,713,767,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,838,713,767,491 is 71779608885842.
Find LCM of 638,838,713,767,491 with Prime Factorization
2 | 638, 838, 713, 767, 491 |
319, 419, 713, 767, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 319 x 419 x 713 x 767 x 491 = 71779608885842
Therefore, the lowest common multiple of 638,838,713,767,491 is 71779608885842.
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 838 x 713 x 767 x 491 = 143559217771684
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
838 : 1, 2, 419, 838
713 : 1, 23, 31, 713
767 : 1, 13, 59, 767
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,838,713,767,491, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
838:2x 419
713:23x 31
767:13x 59
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 143559217771684/(1x2)
LCM = 143559217771684/2
LCM = 71779608885842
Thus, we can understand that the LCM of 638,838,713,767,491 is 71779608885842.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 838, 713, 767, 491?
Answer: LCM of 638, 838, 713, 767, 491 is 71779608885842.
2. How to calculate the LCM of 638, 838, 713, 767, 491?
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, 838, 713, 767, 491.
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}.