Find the LCM of 627, 291, 728, 994, 583 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 627, 291, 728, 994, 583. So, keep reading to learn more.
Given numbers are 627,291,728,994,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,291,728,994,583 is 166611461016.
Find LCM of 627,291,728,994,583 with Prime Factorization
2 | 627, 291, 728, 994, 583 |
3 | 627, 291, 364, 497, 583 |
7 | 209, 97, 364, 497, 583 |
11 | 209, 97, 52, 71, 583 |
19, 97, 52, 71, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 97 x 52 x 71 x 53 = 166611461016
Therefore, the lowest common multiple of 627,291,728,994,583 is 166611461016.
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.
627 x 291 x 728 x 994 x 583 = 76974494989392
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
291 : 1, 3, 97, 291
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
994 : 1, 2, 7, 14, 71, 142, 497, 994
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,291,728,994,583, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
291:3x 97
728:2x 2x 2x 7x 13
994:2x 7x 71
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 76974494989392/(1x462)
LCM = 76974494989392/462
LCM = 166611461016
Thus, we can understand that the LCM of 627,291,728,994,583 is 166611461016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 291, 728, 994, 583?
Answer: LCM of 627, 291, 728, 994, 583 is 166611461016.
2. How to calculate the LCM of 627, 291, 728, 994, 583?
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 627, 291, 728, 994, 583.
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}.