LCM of 890, 810, 614, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 810, 614, 345 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 890, 810, 614, 345. So, keep reading to learn more.
Given numbers are 890,810,614,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,810,614,345 is 509027490.
Find LCM of 890,810,614,345 with Prime Factorization
| 2 | 890, 810, 614, 345 |
| 3 | 445, 405, 307, 345 |
| 5 | 445, 135, 307, 115 |
| 89, 27, 307, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 27 x 307 x 23 = 509027490
Therefore, the lowest common multiple of 890,810,614,345 is 509027490.
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.
890 x 810 x 614 x 345 = 152708247000
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
614 : 1, 2, 307, 614
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,810,614,345, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
810:2x 3x 3x 3x 3x 5
614:2x 307
345:3x 5x 23
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 152708247000/(1x300)
LCM = 152708247000/300
LCM = 509027490
Thus, we can understand that the LCM of 890,810,614,345 is 509027490.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 890, 810, 614, 345
1. What is the LCM of 890, 810, 614, 345?
Answer: LCM of 890, 810, 614, 345 is 509027490.
2. How to calculate the LCM of 890, 810, 614, 345?
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 890, 810, 614, 345.
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}.