Find the LCM of 911, 150, 314, 934, 903 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 911, 150, 314, 934, 903. So, keep reading to learn more.
Given numbers are 911,150,314,934,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,150,314,934,903 is 3015731446350.
Find LCM of 911,150,314,934,903 with Prime Factorization
2 | 911, 150, 314, 934, 903 |
3 | 911, 75, 157, 467, 903 |
911, 25, 157, 467, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 911 x 25 x 157 x 467 x 301 = 3015731446350
Therefore, the lowest common multiple of 911,150,314,934,903 is 3015731446350.
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.
911 x 150 x 314 x 934 x 903 = 36188777356200
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.
911 : 1, 911
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
314 : 1, 2, 157, 314
934 : 1, 2, 467, 934
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,150,314,934,903, is 1.
Now, the common factors can be found like this.
911:911
150:2x 3x 5x 5
314:2x 157
934:2x 467
903:3x 7x 43
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 3 = 12
Therefore, the value for common factors is 12.
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 = 36188777356200/(1x12)
LCM = 36188777356200/12
LCM = 3015731446350
Thus, we can understand that the LCM of 911,150,314,934,903 is 3015731446350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 911, 150, 314, 934, 903?
Answer: LCM of 911, 150, 314, 934, 903 is 3015731446350.
2. How to calculate the LCM of 911, 150, 314, 934, 903?
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 911, 150, 314, 934, 903.
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}.