Find the LCM of 391, 910, 299, 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 391, 910, 299, 247. So, keep reading to learn more.
Given numbers are 391,910,299,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,910,299,247 is 6760390.
Find LCM of 391,910,299,247 with Prime Factorization
13 | 391, 910, 299, 247 |
23 | 391, 70, 23, 19 |
17, 70, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 17 x 70 x 1 x 19 = 6760390
Therefore, the lowest common multiple of 391,910,299,247 is 6760390.
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.
391 x 910 x 299 x 247 = 26277635930
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.
391 : 1, 17, 23, 391
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
299 : 1, 13, 23, 299
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,910,299,247, is 1.
Now, the common factors can be found like this.
391:17x 23
910:2x 5x 7x 13
299:13x 23
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.
13x 13x 23 = 3887
Therefore, the value for common factors is 3887.
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 = 26277635930/(1x3887)
LCM = 26277635930/3887
LCM = 6760390
Thus, we can understand that the LCM of 391,910,299,247 is 6760390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 910, 299, 247?
Answer: LCM of 391, 910, 299, 247 is 6760390.
2. How to calculate the LCM of 391, 910, 299, 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 391, 910, 299, 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}.