Find the LCM of 130, 874, 478, 556, 247 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 130, 874, 478, 556, 247. So, keep reading to learn more.
Given numbers are 130,874,478,556,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,874,478,556,247 is 3774570020.
Find LCM of 130,874,478,556,247 with Prime Factorization
2 | 130, 874, 478, 556, 247 |
13 | 65, 437, 239, 278, 247 |
19 | 5, 437, 239, 278, 19 |
5, 23, 239, 278, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 5 x 23 x 239 x 278 x 1 = 3774570020
Therefore, the lowest common multiple of 130,874,478,556,247 is 3774570020.
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.
130 x 874 x 478 x 556 x 247 = 7458550359520
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
874 : 1, 2, 19, 23, 38, 46, 437, 874
478 : 1, 2, 239, 478
556 : 1, 2, 4, 139, 278, 556
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,874,478,556,247, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
874:2x 19x 23
478:2x 239
556:2x 2x 139
247:13x 19
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 7458550359520/(1x1976)
LCM = 7458550359520/1976
LCM = 3774570020
Thus, we can understand that the LCM of 130,874,478,556,247 is 3774570020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 130, 874, 478, 556, 247?
Answer: LCM of 130, 874, 478, 556, 247 is 3774570020.
2. How to calculate the LCM of 130, 874, 478, 556, 247?
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 130, 874, 478, 556, 247.
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}.