LCM of 432, 309, 366, 542, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 309, 366, 542, 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 432, 309, 366, 542, 390. So, keep reading to learn more.
Given numbers are 432,309,366,542,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,309,366,542,390 is 47811619440.
Find LCM of 432,309,366,542,390 with Prime Factorization
| 2 | 432, 309, 366, 542, 390 |
| 3 | 216, 309, 183, 271, 195 |
| 72, 103, 61, 271, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 72 x 103 x 61 x 271 x 65 = 47811619440
Therefore, the lowest common multiple of 432,309,366,542,390 is 47811619440.
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.
432 x 309 x 366 x 542 x 390 = 10327309799040
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
309 : 1, 3, 103, 309
366 : 1, 2, 3, 6, 61, 122, 183, 366
542 : 1, 2, 271, 542
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 432,309,366,542,390, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
309:3x 103
366:2x 3x 61
542:2x 271
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 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 10327309799040/(1x216)
LCM = 10327309799040/216
LCM = 47811619440
Thus, we can understand that the LCM of 432,309,366,542,390 is 47811619440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 432, 309, 366, 542, 390
1. What is the LCM of 432, 309, 366, 542, 390?
Answer: LCM of 432, 309, 366, 542, 390 is 47811619440.
2. How to calculate the LCM of 432, 309, 366, 542, 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 432, 309, 366, 542, 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}.