LCM of 280, 965, 572, 667, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 965, 572, 667, 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 280, 965, 572, 667, 390. So, keep reading to learn more.
Given numbers are 280,965,572,667,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,965,572,667,390 is 15463167720.
Find LCM of 280,965,572,667,390 with Prime Factorization
| 2 | 280, 965, 572, 667, 390 |
| 2 | 140, 965, 286, 667, 195 |
| 5 | 70, 965, 143, 667, 195 |
| 13 | 14, 193, 143, 667, 39 |
| 14, 193, 11, 667, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 14 x 193 x 11 x 667 x 3 = 15463167720
Therefore, the lowest common multiple of 280,965,572,667,390 is 15463167720.
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 965 x 572 x 667 x 390 = 40204236072000
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
965 : 1, 5, 193, 965
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
667 : 1, 23, 29, 667
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 280,965,572,667,390, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
965:5x 193
572:2x 2x 11x 13
667:23x 29
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 5x 5x 13 = 2600
Therefore, the value for common factors is 2600.
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 = 40204236072000/(1x2600)
LCM = 40204236072000/2600
LCM = 15463167720
Thus, we can understand that the LCM of 280,965,572,667,390 is 15463167720.
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FAQs on LCM of 280, 965, 572, 667, 390
1. What is the LCM of 280, 965, 572, 667, 390?
Answer: LCM of 280, 965, 572, 667, 390 is 15463167720.
2. How to calculate the LCM of 280, 965, 572, 667, 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 280, 965, 572, 667, 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}.