Find the LCM of 905, 946, 414, 540, 271 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 905, 946, 414, 540, 271. So, keep reading to learn more.
Given numbers are 905,946,414,540,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,946,414,540,271 is 288157947660.
Find LCM of 905,946,414,540,271 with Prime Factorization
2 | 905, 946, 414, 540, 271 |
3 | 905, 473, 207, 270, 271 |
3 | 905, 473, 69, 90, 271 |
5 | 905, 473, 23, 30, 271 |
181, 473, 23, 6, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 181 x 473 x 23 x 6 x 271 = 288157947660
Therefore, the lowest common multiple of 905,946,414,540,271 is 288157947660.
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.
905 x 946 x 414 x 540 x 271 = 51868430578800
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.
905 : 1, 5, 181, 905
946 : 1, 2, 11, 22, 43, 86, 473, 946
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,946,414,540,271, is 1.
Now, the common factors can be found like this.
905:5x 181
946:2x 11x 43
414:2x 3x 3x 23
540:2x 2x 3x 3x 3x 5
271:271
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 51868430578800/(1x180)
LCM = 51868430578800/180
LCM = 288157947660
Thus, we can understand that the LCM of 905,946,414,540,271 is 288157947660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 946, 414, 540, 271?
Answer: LCM of 905, 946, 414, 540, 271 is 288157947660.
2. How to calculate the LCM of 905, 946, 414, 540, 271?
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 905, 946, 414, 540, 271.
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}.