Find the LCM of 125, 240, 900, 491, 469 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 125, 240, 900, 491, 469. So, keep reading to learn more.
Given numbers are 125,240,900,491,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,240,900,491,469 is 4145022000.
Find LCM of 125,240,900,491,469 with Prime Factorization
2 | 125, 240, 900, 491, 469 |
2 | 125, 120, 450, 491, 469 |
3 | 125, 60, 225, 491, 469 |
5 | 125, 20, 75, 491, 469 |
5 | 25, 4, 15, 491, 469 |
5, 4, 3, 491, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 5 x 4 x 3 x 491 x 469 = 4145022000
Therefore, the lowest common multiple of 125,240,900,491,469 is 4145022000.
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.
125 x 240 x 900 x 491 x 469 = 6217533000000
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.
125 : 1, 5, 25, 125
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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
491 : 1, 491
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,240,900,491,469, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
240:2x 2x 2x 2x 3x 5
900:2x 2x 3x 3x 5x 5
491:491
469:7x 67
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 5x 5x 5 = 1500
Therefore, the value for common factors is 1500.
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 = 6217533000000/(1x1500)
LCM = 6217533000000/1500
LCM = 4145022000
Thus, we can understand that the LCM of 125,240,900,491,469 is 4145022000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 240, 900, 491, 469?
Answer: LCM of 125, 240, 900, 491, 469 is 4145022000.
2. How to calculate the LCM of 125, 240, 900, 491, 469?
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 125, 240, 900, 491, 469.
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}.