Find the LCM of 323, 118, 649, 971 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 323, 118, 649, 971. So, keep reading to learn more.
Given numbers are 323,118,649,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,118,649,971 is 407095634.
Find LCM of 323,118,649,971 with Prime Factorization
59 | 323, 118, 649, 971 |
323, 2, 11, 971 |
Multiply the prime numbers at the bottom and the left side.
59 x 323 x 2 x 11 x 971 = 407095634
Therefore, the lowest common multiple of 323,118,649,971 is 407095634.
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.
323 x 118 x 649 x 971 = 24018642406
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.
323 : 1, 17, 19, 323
118 : 1, 2, 59, 118
649 : 1, 11, 59, 649
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,118,649,971, is 1.
Now, the common factors can be found like this.
323:17x 19
118:2x 59
649:11x 59
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59 = 59
Therefore, the value for common factors is 59.
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 = 24018642406/(1x59)
LCM = 24018642406/59
LCM = 407095634
Thus, we can understand that the LCM of 323,118,649,971 is 407095634.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 118, 649, 971?
Answer: LCM of 323, 118, 649, 971 is 407095634.
2. How to calculate the LCM of 323, 118, 649, 971?
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 323, 118, 649, 971.
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}.