Find the LCM of 386, 706, 135, 260, 853 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 386, 706, 135, 260, 853. So, keep reading to learn more.
Given numbers are 386,706,135,260,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 386,706,135,260,853 is 407960539740.
Find LCM of 386,706,135,260,853 with Prime Factorization
2 | 386, 706, 135, 260, 853 |
5 | 193, 353, 135, 130, 853 |
193, 353, 27, 26, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 193 x 353 x 27 x 26 x 853 = 407960539740
Therefore, the lowest common multiple of 386,706,135,260,853 is 407960539740.
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.
386 x 706 x 135 x 260 x 853 = 8159210794800
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.
386 : 1, 2, 193, 386
706 : 1, 2, 353, 706
135 : 1, 3, 5, 9, 15, 27, 45, 135
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,706,135,260,853, is 1.
Now, the common factors can be found like this.
386:2x 193
706:2x 353
135:3x 3x 3x 5
260:2x 2x 5x 13
853:853
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 5 = 20
Therefore, the value for common factors is 20.
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 = 8159210794800/(1x20)
LCM = 8159210794800/20
LCM = 407960539740
Thus, we can understand that the LCM of 386,706,135,260,853 is 407960539740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 386, 706, 135, 260, 853?
Answer: LCM of 386, 706, 135, 260, 853 is 407960539740.
2. How to calculate the LCM of 386, 706, 135, 260, 853?
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 386, 706, 135, 260, 853.
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}.