Find the LCM of 845, 299, 950, 391 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 845, 299, 950, 391. So, keep reading to learn more.
Given numbers are 845,299,950,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,299,950,391 is 62775050.
Find LCM of 845,299,950,391 with Prime Factorization
5 | 845, 299, 950, 391 |
13 | 169, 299, 190, 391 |
23 | 13, 23, 190, 391 |
13, 1, 190, 17 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 23 x 13 x 1 x 190 x 17 = 62775050
Therefore, the lowest common multiple of 845,299,950,391 is 62775050.
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.
845 x 299 x 950 x 391 = 93848699750
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.
845 : 1, 5, 13, 65, 169, 845
299 : 1, 13, 23, 299
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,299,950,391, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
299:13x 23
950:2x 5x 5x 19
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 23 = 1495
Therefore, the value for common factors is 1495.
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 = 93848699750/(1x1495)
LCM = 93848699750/1495
LCM = 62775050
Thus, we can understand that the LCM of 845,299,950,391 is 62775050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 299, 950, 391?
Answer: LCM of 845, 299, 950, 391 is 62775050.
2. How to calculate the LCM of 845, 299, 950, 391?
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 845, 299, 950, 391.
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}.