Find the LCM of 462, 374, 621, 821, 884 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 462, 374, 621, 821, 884. So, keep reading to learn more.
Given numbers are 462,374,621,821,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,374,621,821,884 is 34703857188.
Find LCM of 462,374,621,821,884 with Prime Factorization
2 | 462, 374, 621, 821, 884 |
3 | 231, 187, 621, 821, 442 |
11 | 77, 187, 207, 821, 442 |
17 | 7, 17, 207, 821, 442 |
7, 1, 207, 821, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 7 x 1 x 207 x 821 x 26 = 34703857188
Therefore, the lowest common multiple of 462,374,621,821,884 is 34703857188.
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.
462 x 374 x 621 x 821 x 884 = 77875455529872
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
374 : 1, 2, 11, 17, 22, 34, 187, 374
621 : 1, 3, 9, 23, 27, 69, 207, 621
821 : 1, 821
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,374,621,821,884, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
374:2x 11x 17
621:3x 3x 3x 23
821:821
884:2x 2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 77875455529872/(1x2244)
LCM = 77875455529872/2244
LCM = 34703857188
Thus, we can understand that the LCM of 462,374,621,821,884 is 34703857188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 374, 621, 821, 884?
Answer: LCM of 462, 374, 621, 821, 884 is 34703857188.
2. How to calculate the LCM of 462, 374, 621, 821, 884?
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 462, 374, 621, 821, 884.
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}.