Find the LCM of 634, 579, 782, 316, 989 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 634, 579, 782, 316, 989. So, keep reading to learn more.
Given numbers are 634,579,782,316,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,579,782,316,989 is 975147073044.
Find LCM of 634,579,782,316,989 with Prime Factorization
2 | 634, 579, 782, 316, 989 |
23 | 317, 579, 391, 158, 989 |
317, 579, 17, 158, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 317 x 579 x 17 x 158 x 43 = 975147073044
Therefore, the lowest common multiple of 634,579,782,316,989 is 975147073044.
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.
634 x 579 x 782 x 316 x 989 = 89713530720048
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.
634 : 1, 2, 317, 634
579 : 1, 3, 193, 579
782 : 1, 2, 17, 23, 34, 46, 391, 782
316 : 1, 2, 4, 79, 158, 316
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,579,782,316,989, is 1.
Now, the common factors can be found like this.
634:2x 317
579:3x 193
782:2x 17x 23
316:2x 2x 79
989:23x 43
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 23 = 92
Therefore, the value for common factors is 92.
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 = 89713530720048/(1x92)
LCM = 89713530720048/92
LCM = 975147073044
Thus, we can understand that the LCM of 634,579,782,316,989 is 975147073044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 634, 579, 782, 316, 989?
Answer: LCM of 634, 579, 782, 316, 989 is 975147073044.
2. How to calculate the LCM of 634, 579, 782, 316, 989?
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 634, 579, 782, 316, 989.
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}.