LCM of 390, 494, 612, 724, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 494, 612, 724, 590 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, 494, 612, 724, 590. So, keep reading to learn more.
Given numbers are 390,494,612,724,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,494,612,724,590 is 8071401780.
Find LCM of 390,494,612,724,590 with Prime Factorization
| 2 | 390, 494, 612, 724, 590 |
| 2 | 195, 247, 306, 362, 295 |
| 3 | 195, 247, 153, 181, 295 |
| 5 | 65, 247, 51, 181, 295 |
| 13 | 13, 247, 51, 181, 59 |
| 1, 19, 51, 181, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 19 x 51 x 181 x 59 = 8071401780
Therefore, the lowest common multiple of 390,494,612,724,590 is 8071401780.
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 494 x 612 x 724 x 590 = 50365547107200
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
724 : 1, 2, 4, 181, 362, 724
590 : 1, 2, 5, 10, 59, 118, 295, 590
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,494,612,724,590, is 2.
Now, the common factors can be found like this.
390:2x 3x 5x 13
494:2x 13x 19
612:2x 2x 3x 3x 17
724:2x 2x 181
590:2x 5x 59
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 2x 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 50365547107200/(2x3120)
LCM = 50365547107200/6240
LCM = 8071401780
Thus, we can understand that the LCM of 390,494,612,724,590 is 8071401780.
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FAQs on LCM of 390, 494, 612, 724, 590
1. What is the LCM of 390, 494, 612, 724, 590?
Answer: LCM of 390, 494, 612, 724, 590 is 8071401780.
2. How to calculate the LCM of 390, 494, 612, 724, 590?
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, 494, 612, 724, 590.
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}.