LCM of 390, 283, 705, 533, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 283, 705, 533, 658 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 390, 283, 705, 533, 658. So, keep reading to learn more.
Given numbers are 390,283,705,533,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,283,705,533,658 is 1488780930.
Find LCM of 390,283,705,533,658 with Prime Factorization
| 2 | 390, 283, 705, 533, 658 |
| 3 | 195, 283, 705, 533, 329 |
| 5 | 65, 283, 235, 533, 329 |
| 13 | 13, 283, 47, 533, 329 |
| 47 | 1, 283, 47, 41, 329 |
| 1, 283, 1, 41, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 47 x 1 x 283 x 1 x 41 x 7 = 1488780930
Therefore, the lowest common multiple of 390,283,705,533,658 is 1488780930.
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.
390 x 283 x 705 x 533 x 658 = 27289354446900
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
283 : 1, 283
705 : 1, 3, 5, 15, 47, 141, 235, 705
533 : 1, 13, 41, 533
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,283,705,533,658, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
283:283
705:3x 5x 47
533:13x 41
658:2x 7x 47
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 5x 13x 47 = 18330
Therefore, the value for common factors is 18330.
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 = 27289354446900/(1x18330)
LCM = 27289354446900/18330
LCM = 1488780930
Thus, we can understand that the LCM of 390,283,705,533,658 is 1488780930.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 390, 283, 705, 533, 658
1. What is the LCM of 390, 283, 705, 533, 658?
Answer: LCM of 390, 283, 705, 533, 658 is 1488780930.
2. How to calculate the LCM of 390, 283, 705, 533, 658?
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 390, 283, 705, 533, 658.
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}.