Find the LCM of 421, 133, 323, 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 421, 133, 323, 878. So, keep reading to learn more.
Given numbers are 421,133,323,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,133,323,878 is 835751518.
Find LCM of 421,133,323,878 with Prime Factorization
19 | 421, 133, 323, 878 |
421, 7, 17, 878 |
Multiply the prime numbers at the bottom and the left side.
19 x 421 x 7 x 17 x 878 = 835751518
Therefore, the lowest common multiple of 421,133,323,878 is 835751518.
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.
421 x 133 x 323 x 878 = 15879278842
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.
421 : 1, 421
133 : 1, 7, 19, 133
323 : 1, 17, 19, 323
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,133,323,878, is 1.
Now, the common factors can be found like this.
421:421
133:7x 19
323:17x 19
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.
19 = 19
Therefore, the value for common factors is 19.
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 = 15879278842/(1x19)
LCM = 15879278842/19
LCM = 835751518
Thus, we can understand that the LCM of 421,133,323,878 is 835751518.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 133, 323, 878?
Answer: LCM of 421, 133, 323, 878 is 835751518.
2. How to calculate the LCM of 421, 133, 323, 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 421, 133, 323, 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}.