Find the LCM of 401, 677, 824, 821, 200 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 401, 677, 824, 821, 200. So, keep reading to learn more.
Given numbers are 401,677,824,821,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,677,824,821,200 is 4591381910200.
Find LCM of 401,677,824,821,200 with Prime Factorization
2 | 401, 677, 824, 821, 200 |
2 | 401, 677, 412, 821, 100 |
2 | 401, 677, 206, 821, 50 |
401, 677, 103, 821, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 401 x 677 x 103 x 821 x 25 = 4591381910200
Therefore, the lowest common multiple of 401,677,824,821,200 is 4591381910200.
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.
401 x 677 x 824 x 821 x 200 = 36731055281600
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.
401 : 1, 401
677 : 1, 677
824 : 1, 2, 4, 8, 103, 206, 412, 824
821 : 1, 821
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,677,824,821,200, is 1.
Now, the common factors can be found like this.
401:401
677:677
824:2x 2x 2x 103
821:821
200:2x 2x 2x 5x 5
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 2 = 8
Therefore, the value for common factors is 8.
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 = 36731055281600/(1x8)
LCM = 36731055281600/8
LCM = 4591381910200
Thus, we can understand that the LCM of 401,677,824,821,200 is 4591381910200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 677, 824, 821, 200?
Answer: LCM of 401, 677, 824, 821, 200 is 4591381910200.
2. How to calculate the LCM of 401, 677, 824, 821, 200?
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 401, 677, 824, 821, 200.
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}.