LCM of 409, 280, 420, 125
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 280, 420, 125 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 409, 280, 420, 125. So, keep reading to learn more.
Given numbers are 409,280,420,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,280,420,125 is 8589000.
Find LCM of 409,280,420,125 with Prime Factorization
| 2 | 409, 280, 420, 125 |
| 2 | 409, 140, 210, 125 |
| 5 | 409, 70, 105, 125 |
| 7 | 409, 14, 21, 25 |
| 409, 2, 3, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 409 x 2 x 3 x 25 = 8589000
Therefore, the lowest common multiple of 409,280,420,125 is 8589000.
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.
409 x 280 x 420 x 125 = 6012300000
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.
409 : 1, 409
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,280,420,125, is 1.
Now, the common factors can be found like this.
409:409
280:2x 2x 2x 5x 7
420:2x 2x 3x 5x 7
125:5x 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 5x 5x 7 = 700
Therefore, the value for common factors is 700.
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 = 6012300000/(1x700)
LCM = 6012300000/700
LCM = 8589000
Thus, we can understand that the LCM of 409,280,420,125 is 8589000.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 409, 280, 420, 125
1. What is the LCM of 409, 280, 420, 125?
Answer: LCM of 409, 280, 420, 125 is 8589000.
2. How to calculate the LCM of 409, 280, 420, 125?
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 409, 280, 420, 125.
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}.