LCM of 159, 605, 510, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 605, 510, 390 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 159, 605, 510, 390. So, keep reading to learn more.
Given numbers are 159,605,510,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,605,510,390 is 42518190.
Find LCM of 159,605,510,390 with Prime Factorization
| 2 | 159, 605, 510, 390 |
| 3 | 159, 605, 255, 195 |
| 5 | 53, 605, 85, 65 |
| 53, 121, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 121 x 17 x 13 = 42518190
Therefore, the lowest common multiple of 159,605,510,390 is 42518190.
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.
159 x 605 x 510 x 390 = 19133185500
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.
159 : 1, 3, 53, 159
605 : 1, 5, 11, 55, 121, 605
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,605,510,390, is 1.
Now, the common factors can be found like this.
159:3x 53
605:5x 11x 11
510:2x 3x 5x 17
390:2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 19133185500/(1x450)
LCM = 19133185500/450
LCM = 42518190
Thus, we can understand that the LCM of 159,605,510,390 is 42518190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 605, 510, 390
1. What is the LCM of 159, 605, 510, 390?
Answer: LCM of 159, 605, 510, 390 is 42518190.
2. How to calculate the LCM of 159, 605, 510, 390?
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 159, 605, 510, 390.
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}.