LCM of 280, 959, 125, 546, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 959, 125, 546, 399 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 280, 959, 125, 546, 399. So, keep reading to learn more.
Given numbers are 280,959,125,546,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,959,125,546,399 is 710619000.
Find LCM of 280,959,125,546,399 with Prime Factorization
| 2 | 280, 959, 125, 546, 399 |
| 3 | 140, 959, 125, 273, 399 |
| 5 | 140, 959, 125, 91, 133 |
| 7 | 28, 959, 25, 91, 133 |
| 4, 137, 25, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 4 x 137 x 25 x 13 x 19 = 710619000
Therefore, the lowest common multiple of 280,959,125,546,399 is 710619000.
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.
280 x 959 x 125 x 546 x 399 = 7312269510000
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
959 : 1, 7, 137, 959
125 : 1, 5, 25, 125
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,959,125,546,399, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
959:7x 137
125:5x 5x 5
546:2x 3x 7x 13
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 7x 7 = 10290
Therefore, the value for common factors is 10290.
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 = 7312269510000/(1x10290)
LCM = 7312269510000/10290
LCM = 710619000
Thus, we can understand that the LCM of 280,959,125,546,399 is 710619000.
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FAQs on LCM of 280, 959, 125, 546, 399
1. What is the LCM of 280, 959, 125, 546, 399?
Answer: LCM of 280, 959, 125, 546, 399 is 710619000.
2. How to calculate the LCM of 280, 959, 125, 546, 399?
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 280, 959, 125, 546, 399.
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}.