Find the LCM of 470, 625, 500, 497, 200 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 470, 625, 500, 497, 200. So, keep reading to learn more.
Given numbers are 470,625,500,497,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,625,500,497,200 is 116795000.
Find LCM of 470,625,500,497,200 with Prime Factorization
2 | 470, 625, 500, 497, 200 |
2 | 235, 625, 250, 497, 100 |
5 | 235, 625, 125, 497, 50 |
5 | 47, 25, 125, 497, 10 |
5 | 47, 5, 25, 497, 2 |
47, 1, 5, 497, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 5 x 47 x 1 x 5 x 497 x 2 = 116795000
Therefore, the lowest common multiple of 470,625,500,497,200 is 116795000.
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.
470 x 625 x 500 x 497 x 200 = 14599375000000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
625 : 1, 5, 25, 125, 625
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
497 : 1, 7, 71, 497
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,625,500,497,200, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
625:5x 5x 5x 5
500:2x 2x 5x 5x 5
497:7x 71
200:2x 2x 2x 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 5x 5x 5x 5x 5x 5 = 125000
Therefore, the value for common factors is 125000.
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 = 14599375000000/(1x125000)
LCM = 14599375000000/125000
LCM = 116795000
Thus, we can understand that the LCM of 470,625,500,497,200 is 116795000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 625, 500, 497, 200?
Answer: LCM of 470, 625, 500, 497, 200 is 116795000.
2. How to calculate the LCM of 470, 625, 500, 497, 200?
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 470, 625, 500, 497, 200.
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}.