Find the LCM of 821, 101, 821, 468 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 821, 101, 821, 468. So, keep reading to learn more.
Given numbers are 821,101,821,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,101,821,468 is 38807028.
Find LCM of 821,101,821,468 with Prime Factorization
821 | 821, 101, 821, 468 |
1, 101, 1, 468 |
Multiply the prime numbers at the bottom and the left side.
821 x 1 x 101 x 1 x 468 = 38807028
Therefore, the lowest common multiple of 821,101,821,468 is 38807028.
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.
821 x 101 x 821 x 468 = 31860569988
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.
821 : 1, 821
101 : 1, 101
821 : 1, 821
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,101,821,468, is 1.
Now, the common factors can be found like this.
821:821
101:101
821:821
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
821 = 821
Therefore, the value for common factors is 821.
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 = 31860569988/(1x821)
LCM = 31860569988/821
LCM = 38807028
Thus, we can understand that the LCM of 821,101,821,468 is 38807028.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 101, 821, 468?
Answer: LCM of 821, 101, 821, 468 is 38807028.
2. How to calculate the LCM of 821, 101, 821, 468?
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 821, 101, 821, 468.
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}.