LCM of 798, 390, 250, 281, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 390, 250, 281, 450 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 798, 390, 250, 281, 450. So, keep reading to learn more.
Given numbers are 798,390,250,281,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,390,250,281,450 is 1093160250.
Find LCM of 798,390,250,281,450 with Prime Factorization
| 2 | 798, 390, 250, 281, 450 |
| 3 | 399, 195, 125, 281, 225 |
| 5 | 133, 65, 125, 281, 75 |
| 5 | 133, 13, 25, 281, 15 |
| 133, 13, 5, 281, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 133 x 13 x 5 x 281 x 3 = 1093160250
Therefore, the lowest common multiple of 798,390,250,281,450 is 1093160250.
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.
798 x 390 x 250 x 281 x 450 = 9838442250000
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
250 : 1, 2, 5, 10, 25, 50, 125, 250
281 : 1, 281
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,390,250,281,450, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
390:2x 3x 5x 13
250:2x 5x 5x 5
281:281
450:2x 3x 3x 5x 5
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 5x 5x 5 = 9000
Therefore, the value for common factors is 9000.
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 = 9838442250000/(1x9000)
LCM = 9838442250000/9000
LCM = 1093160250
Thus, we can understand that the LCM of 798,390,250,281,450 is 1093160250.
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FAQs on LCM of 798, 390, 250, 281, 450
1. What is the LCM of 798, 390, 250, 281, 450?
Answer: LCM of 798, 390, 250, 281, 450 is 1093160250.
2. How to calculate the LCM of 798, 390, 250, 281, 450?
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 798, 390, 250, 281, 450.
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}.