Find the LCM of 499, 789, 439, 785, 878 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 499, 789, 439, 785, 878. So, keep reading to learn more.
Given numbers are 499,789,439,785,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,789,439,785,878 is 271357432530.
Find LCM of 499,789,439,785,878 with Prime Factorization
439 | 499, 789, 439, 785, 878 |
499, 789, 1, 785, 2 |
Multiply the prime numbers at the bottom and the left side.
439 x 499 x 789 x 1 x 785 x 2 = 271357432530
Therefore, the lowest common multiple of 499,789,439,785,878 is 271357432530.
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.
499 x 789 x 439 x 785 x 878 = 119125912880670
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.
499 : 1, 499
789 : 1, 3, 263, 789
439 : 1, 439
785 : 1, 5, 157, 785
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,789,439,785,878, is 1.
Now, the common factors can be found like this.
499:499
789:3x 263
439:439
785:5x 157
878:2x 439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
439 = 439
Therefore, the value for common factors is 439.
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 = 119125912880670/(1x439)
LCM = 119125912880670/439
LCM = 271357432530
Thus, we can understand that the LCM of 499,789,439,785,878 is 271357432530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 499, 789, 439, 785, 878?
Answer: LCM of 499, 789, 439, 785, 878 is 271357432530.
2. How to calculate the LCM of 499, 789, 439, 785, 878?
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 499, 789, 439, 785, 878.
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}.