Find the LCM of 995, 825, 460, 947, 400 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 995, 825, 460, 947, 400. So, keep reading to learn more.
Given numbers are 995,825,460,947,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,825,460,947,400 is 57214330800.
Find LCM of 995,825,460,947,400 with Prime Factorization
2 | 995, 825, 460, 947, 400 |
2 | 995, 825, 230, 947, 200 |
5 | 995, 825, 115, 947, 100 |
5 | 199, 165, 23, 947, 20 |
199, 33, 23, 947, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 199 x 33 x 23 x 947 x 4 = 57214330800
Therefore, the lowest common multiple of 995,825,460,947,400 is 57214330800.
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.
995 x 825 x 460 x 947 x 400 = 143035827000000
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.
995 : 1, 5, 199, 995
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
947 : 1, 947
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,825,460,947,400, is 1.
Now, the common factors can be found like this.
995:5x 199
825:3x 5x 5x 11
460:2x 2x 5x 23
947:947
400:2x 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 5x 5x 5x 5 = 2500
Therefore, the value for common factors is 2500.
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 = 143035827000000/(1x2500)
LCM = 143035827000000/2500
LCM = 57214330800
Thus, we can understand that the LCM of 995,825,460,947,400 is 57214330800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 825, 460, 947, 400?
Answer: LCM of 995, 825, 460, 947, 400 is 57214330800.
2. How to calculate the LCM of 995, 825, 460, 947, 400?
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 995, 825, 460, 947, 400.
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}.