LCM of 390, 475, 515, 611, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 475, 515, 611, 660 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, 475, 515, 611, 660. So, keep reading to learn more.
Given numbers are 390,475,515,611,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,475,515,611,660 is 3945899100.
Find LCM of 390,475,515,611,660 with Prime Factorization
| 2 | 390, 475, 515, 611, 660 |
| 3 | 195, 475, 515, 611, 330 |
| 5 | 65, 475, 515, 611, 110 |
| 13 | 13, 95, 103, 611, 22 |
| 1, 95, 103, 47, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 1 x 95 x 103 x 47 x 22 = 3945899100
Therefore, the lowest common multiple of 390,475,515,611,660 is 3945899100.
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 475 x 515 x 611 x 660 = 38472516225000
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
475 : 1, 5, 19, 25, 95, 475
515 : 1, 5, 103, 515
611 : 1, 13, 47, 611
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,475,515,611,660, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
475:5x 5x 19
515:5x 103
611:13x 47
660:2x 2x 3x 5x 11
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 5x 5x 13 = 9750
Therefore, the value for common factors is 9750.
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 = 38472516225000/(1x9750)
LCM = 38472516225000/9750
LCM = 3945899100
Thus, we can understand that the LCM of 390,475,515,611,660 is 3945899100.
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FAQs on LCM of 390, 475, 515, 611, 660
1. What is the LCM of 390, 475, 515, 611, 660?
Answer: LCM of 390, 475, 515, 611, 660 is 3945899100.
2. How to calculate the LCM of 390, 475, 515, 611, 660?
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, 475, 515, 611, 660.
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}.