LCM of 239, 900, 464, 355, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 900, 464, 355, 780 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 239, 900, 464, 355, 780. So, keep reading to learn more.
Given numbers are 239,900,464,355,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,900,464,355,780 is 23030326800.
Find LCM of 239,900,464,355,780 with Prime Factorization
| 2 | 239, 900, 464, 355, 780 |
| 2 | 239, 450, 232, 355, 390 |
| 3 | 239, 225, 116, 355, 195 |
| 5 | 239, 75, 116, 355, 65 |
| 239, 15, 116, 71, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 239 x 15 x 116 x 71 x 13 = 23030326800
Therefore, the lowest common multiple of 239,900,464,355,780 is 23030326800.
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.
239 x 900 x 464 x 355 x 780 = 27636392160000
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.
239 : 1, 239
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
355 : 1, 5, 71, 355
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,900,464,355,780, is 1.
Now, the common factors can be found like this.
239:239
900:2x 2x 3x 3x 5x 5
464:2x 2x 2x 2x 29
355:5x 71
780:2x 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 2x 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 27636392160000/(1x1200)
LCM = 27636392160000/1200
LCM = 23030326800
Thus, we can understand that the LCM of 239,900,464,355,780 is 23030326800.
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FAQs on LCM of 239, 900, 464, 355, 780
1. What is the LCM of 239, 900, 464, 355, 780?
Answer: LCM of 239, 900, 464, 355, 780 is 23030326800.
2. How to calculate the LCM of 239, 900, 464, 355, 780?
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 239, 900, 464, 355, 780.
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}.