Find the LCM of 189, 837, 515, 690, 361 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 189, 837, 515, 690, 361. So, keep reading to learn more.
Given numbers are 189,837,515,690,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,837,515,690,361 is 50106695310.
Find LCM of 189,837,515,690,361 with Prime Factorization
3 | 189, 837, 515, 690, 361 |
3 | 63, 279, 515, 230, 361 |
3 | 21, 93, 515, 230, 361 |
5 | 7, 31, 515, 230, 361 |
7, 31, 103, 46, 361 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 31 x 103 x 46 x 361 = 50106695310
Therefore, the lowest common multiple of 189,837,515,690,361 is 50106695310.
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.
189 x 837 x 515 x 690 x 361 = 20293211600550
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
837 : 1, 3, 9, 27, 31, 93, 279, 837
515 : 1, 5, 103, 515
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,837,515,690,361, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
837:3x 3x 3x 31
515:5x 103
690:2x 3x 5x 23
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 20293211600550/(1x405)
LCM = 20293211600550/405
LCM = 50106695310
Thus, we can understand that the LCM of 189,837,515,690,361 is 50106695310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 189, 837, 515, 690, 361?
Answer: LCM of 189, 837, 515, 690, 361 is 50106695310.
2. How to calculate the LCM of 189, 837, 515, 690, 361?
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 189, 837, 515, 690, 361.
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}.