Find the LCM of 466, 810, 348, 707, 189 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 466, 810, 348, 707, 189. So, keep reading to learn more.
Given numbers are 466,810,348,707,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,810,348,707,189 is 7739062380.
Find LCM of 466,810,348,707,189 with Prime Factorization
2 | 466, 810, 348, 707, 189 |
3 | 233, 405, 174, 707, 189 |
3 | 233, 135, 58, 707, 63 |
3 | 233, 45, 58, 707, 21 |
7 | 233, 15, 58, 707, 7 |
233, 15, 58, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 233 x 15 x 58 x 101 x 1 = 7739062380
Therefore, the lowest common multiple of 466,810,348,707,189 is 7739062380.
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.
466 x 810 x 348 x 707 x 189 = 17552193477840
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.
466 : 1, 2, 233, 466
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
707 : 1, 7, 101, 707
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,810,348,707,189, is 1.
Now, the common factors can be found like this.
466:2x 233
810:2x 3x 3x 3x 3x 5
348:2x 2x 3x 29
707:7x 101
189:3x 3x 3x 7
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 3x 3x 3x 3x 7 = 2268
Therefore, the value for common factors is 2268.
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 = 17552193477840/(1x2268)
LCM = 17552193477840/2268
LCM = 7739062380
Thus, we can understand that the LCM of 466,810,348,707,189 is 7739062380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 810, 348, 707, 189?
Answer: LCM of 466, 810, 348, 707, 189 is 7739062380.
2. How to calculate the LCM of 466, 810, 348, 707, 189?
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 466, 810, 348, 707, 189.
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}.