LCM of 189, 481, 220, 520, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 481, 220, 520, 718 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, 481, 220, 520, 718. So, keep reading to learn more.
Given numbers are 189,481,220,520,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,481,220,520,718 is 14359985640.
Find LCM of 189,481,220,520,718 with Prime Factorization
| 2 | 189, 481, 220, 520, 718 |
| 2 | 189, 481, 110, 260, 359 |
| 5 | 189, 481, 55, 130, 359 |
| 13 | 189, 481, 11, 26, 359 |
| 189, 37, 11, 2, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 189 x 37 x 11 x 2 x 359 = 14359985640
Therefore, the lowest common multiple of 189,481,220,520,718 is 14359985640.
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 481 x 220 x 520 x 718 = 7467192532800
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
481 : 1, 13, 37, 481
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,481,220,520,718, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
481:13x 37
220:2x 2x 5x 11
520:2x 2x 2x 5x 13
718:2x 359
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 2x 5x 13 = 520
Therefore, the value for common factors is 520.
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 = 7467192532800/(1x520)
LCM = 7467192532800/520
LCM = 14359985640
Thus, we can understand that the LCM of 189,481,220,520,718 is 14359985640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 189, 481, 220, 520, 718
1. What is the LCM of 189, 481, 220, 520, 718?
Answer: LCM of 189, 481, 220, 520, 718 is 14359985640.
2. How to calculate the LCM of 189, 481, 220, 520, 718?
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, 481, 220, 520, 718.
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}.