Find the LCM of 995, 788, 197, 150 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, 788, 197, 150. So, keep reading to learn more.
Given numbers are 995,788,197,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,788,197,150 is 11760900.
Find LCM of 995,788,197,150 with Prime Factorization
2 | 995, 788, 197, 150 |
5 | 995, 394, 197, 75 |
197 | 199, 394, 197, 15 |
199, 2, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 197 x 199 x 2 x 1 x 15 = 11760900
Therefore, the lowest common multiple of 995,788,197,150 is 11760900.
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 788 x 197 x 150 = 23168973000
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
788 : 1, 2, 4, 197, 394, 788
197 : 1, 197
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,788,197,150, is 1.
Now, the common factors can be found like this.
995:5x 199
788:2x 2x 197
197:197
150:2x 3x 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 5x 197 = 1970
Therefore, the value for common factors is 1970.
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 = 23168973000/(1x1970)
LCM = 23168973000/1970
LCM = 11760900
Thus, we can understand that the LCM of 995,788,197,150 is 11760900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 788, 197, 150?
Answer: LCM of 995, 788, 197, 150 is 11760900.
2. How to calculate the LCM of 995, 788, 197, 150?
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, 788, 197, 150.
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}.