LCM of 250, 321, 494, 900, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 250, 321, 494, 900, 393 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 250, 321, 494, 900, 393. So, keep reading to learn more.
Given numbers are 250,321,494,900,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,321,494,900,393 is 15579895500.
Find LCM of 250,321,494,900,393 with Prime Factorization
| 2 | 250, 321, 494, 900, 393 |
| 3 | 125, 321, 247, 450, 393 |
| 5 | 125, 107, 247, 150, 131 |
| 5 | 25, 107, 247, 30, 131 |
| 5, 107, 247, 6, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 107 x 247 x 6 x 131 = 15579895500
Therefore, the lowest common multiple of 250,321,494,900,393 is 15579895500.
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.
250 x 321 x 494 x 900 x 393 = 14021905950000
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.
250 : 1, 2, 5, 10, 25, 50, 125, 250
321 : 1, 3, 107, 321
494 : 1, 2, 13, 19, 26, 38, 247, 494
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
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,321,494,900,393, is 1.
Now, the common factors can be found like this.
250:2x 5x 5x 5
321:3x 107
494:2x 13x 19
900:2x 2x 3x 3x 5x 5
393:3x 131
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 14021905950000/(1x900)
LCM = 14021905950000/900
LCM = 15579895500
Thus, we can understand that the LCM of 250,321,494,900,393 is 15579895500.
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FAQs on LCM of 250, 321, 494, 900, 393
1. What is the LCM of 250, 321, 494, 900, 393?
Answer: LCM of 250, 321, 494, 900, 393 is 15579895500.
2. How to calculate the LCM of 250, 321, 494, 900, 393?
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 250, 321, 494, 900, 393.
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}.