Find the LCM of 536, 153, 878, 325, 439 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 536, 153, 878, 325, 439. So, keep reading to learn more.
Given numbers are 536,153,878,325,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,153,878,325,439 is 11700491400.
Find LCM of 536,153,878,325,439 with Prime Factorization
2 | 536, 153, 878, 325, 439 |
439 | 268, 153, 439, 325, 439 |
268, 153, 1, 325, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 268 x 153 x 1 x 325 x 1 = 11700491400
Therefore, the lowest common multiple of 536,153,878,325,439 is 11700491400.
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.
536 x 153 x 878 x 325 x 439 = 10273031449200
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
153 : 1, 3, 9, 17, 51, 153
878 : 1, 2, 439, 878
325 : 1, 5, 13, 25, 65, 325
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,153,878,325,439, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
153:3x 3x 17
878:2x 439
325:5x 5x 13
439:439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 439 = 878
Therefore, the value for common factors is 878.
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 = 10273031449200/(1x878)
LCM = 10273031449200/878
LCM = 11700491400
Thus, we can understand that the LCM of 536,153,878,325,439 is 11700491400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 536, 153, 878, 325, 439?
Answer: LCM of 536, 153, 878, 325, 439 is 11700491400.
2. How to calculate the LCM of 536, 153, 878, 325, 439?
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 536, 153, 878, 325, 439.
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}.