LCM of 390, 180, 110, 408, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 180, 110, 408, 533 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, 180, 110, 408, 533. So, keep reading to learn more.
Given numbers are 390,180,110,408,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,180,110,408,533 is 35881560.
Find LCM of 390,180,110,408,533 with Prime Factorization
| 2 | 390, 180, 110, 408, 533 |
| 2 | 195, 90, 55, 204, 533 |
| 3 | 195, 45, 55, 102, 533 |
| 5 | 65, 15, 55, 34, 533 |
| 13 | 13, 3, 11, 34, 533 |
| 1, 3, 11, 34, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 3 x 11 x 34 x 41 = 35881560
Therefore, the lowest common multiple of 390,180,110,408,533 is 35881560.
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 180 x 110 x 408 x 533 = 1679257008000
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
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
110 : 1, 2, 5, 10, 11, 22, 55, 110
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,180,110,408,533, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
180:2x 2x 3x 3x 5
110:2x 5x 11
408:2x 2x 2x 3x 17
533:13x 41
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 3x 5x 5x 13 = 46800
Therefore, the value for common factors is 46800.
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 = 1679257008000/(1x46800)
LCM = 1679257008000/46800
LCM = 35881560
Thus, we can understand that the LCM of 390,180,110,408,533 is 35881560.
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FAQs on LCM of 390, 180, 110, 408, 533
1. What is the LCM of 390, 180, 110, 408, 533?
Answer: LCM of 390, 180, 110, 408, 533 is 35881560.
2. How to calculate the LCM of 390, 180, 110, 408, 533?
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, 180, 110, 408, 533.
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}.