Find the LCM of 321, 949, 669, 831, 849 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 321, 949, 669, 831, 849. So, keep reading to learn more.
Given numbers are 321,949,669,831,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,949,669,831,849 is 5325278342397.
Find LCM of 321,949,669,831,849 with Prime Factorization
3 | 321, 949, 669, 831, 849 |
107, 949, 223, 277, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 949 x 223 x 277 x 283 = 5325278342397
Therefore, the lowest common multiple of 321,949,669,831,849 is 5325278342397.
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.
321 x 949 x 669 x 831 x 849 = 143782515244719
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.
321 : 1, 3, 107, 321
949 : 1, 13, 73, 949
669 : 1, 3, 223, 669
831 : 1, 3, 277, 831
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,949,669,831,849, is 1.
Now, the common factors can be found like this.
321:3x 107
949:13x 73
669:3x 223
831:3x 277
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 143782515244719/(1x27)
LCM = 143782515244719/27
LCM = 5325278342397
Thus, we can understand that the LCM of 321,949,669,831,849 is 5325278342397.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 949, 669, 831, 849?
Answer: LCM of 321, 949, 669, 831, 849 is 5325278342397.
2. How to calculate the LCM of 321, 949, 669, 831, 849?
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 321, 949, 669, 831, 849.
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}.