Find the LCM of 605, 748, 290, 429, 985 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 605, 748, 290, 429, 985. So, keep reading to learn more.
Given numbers are 605,748,290,429,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,748,290,429,985 is 9166279980.
Find LCM of 605,748,290,429,985 with Prime Factorization
2 | 605, 748, 290, 429, 985 |
5 | 605, 374, 145, 429, 985 |
11 | 121, 374, 29, 429, 197 |
11, 34, 29, 39, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 11 x 34 x 29 x 39 x 197 = 9166279980
Therefore, the lowest common multiple of 605,748,290,429,985 is 9166279980.
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.
605 x 748 x 290 x 429 x 985 = 55455993879000
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.
605 : 1, 5, 11, 55, 121, 605
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
290 : 1, 2, 5, 10, 29, 58, 145, 290
429 : 1, 3, 11, 13, 33, 39, 143, 429
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,748,290,429,985, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
748:2x 2x 11x 17
290:2x 5x 29
429:3x 11x 13
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 11 = 6050
Therefore, the value for common factors is 6050.
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 = 55455993879000/(1x6050)
LCM = 55455993879000/6050
LCM = 9166279980
Thus, we can understand that the LCM of 605,748,290,429,985 is 9166279980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 748, 290, 429, 985?
Answer: LCM of 605, 748, 290, 429, 985 is 9166279980.
2. How to calculate the LCM of 605, 748, 290, 429, 985?
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 605, 748, 290, 429, 985.
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}.