Find the LCM of 421, 787, 913, 842, 462 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, 787, 913, 842, 462. So, keep reading to learn more.
Given numbers are 421,787,913,842,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,787,913,842,462 is 12705065142.
Find LCM of 421,787,913,842,462 with Prime Factorization
2 | 421, 787, 913, 842, 462 |
11 | 421, 787, 913, 421, 231 |
421 | 421, 787, 83, 421, 21 |
1, 787, 83, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 421 x 1 x 787 x 83 x 1 x 21 = 12705065142
Therefore, the lowest common multiple of 421,787,913,842,462 is 12705065142.
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 787 x 913 x 842 x 462 = 117674313345204
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
787 : 1, 787
913 : 1, 11, 83, 913
842 : 1, 2, 421, 842
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,787,913,842,462, is 1.
Now, the common factors can be found like this.
421:421
787:787
913:11x 83
842:2x 421
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 421 = 9262
Therefore, the value for common factors is 9262.
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 = 117674313345204/(1x9262)
LCM = 117674313345204/9262
LCM = 12705065142
Thus, we can understand that the LCM of 421,787,913,842,462 is 12705065142.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 787, 913, 842, 462?
Answer: LCM of 421, 787, 913, 842, 462 is 12705065142.
2. How to calculate the LCM of 421, 787, 913, 842, 462?
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, 787, 913, 842, 462.
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}.