Find the LCM of 824, 366, 103, 323 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 824, 366, 103, 323. So, keep reading to learn more.
Given numbers are 824,366,103,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,366,103,323 is 48705816.
Find LCM of 824,366,103,323 with Prime Factorization
2 | 824, 366, 103, 323 |
103 | 412, 183, 103, 323 |
4, 183, 1, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 4 x 183 x 1 x 323 = 48705816
Therefore, the lowest common multiple of 824,366,103,323 is 48705816.
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.
824 x 366 x 103 x 323 = 10033398096
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
366 : 1, 2, 3, 6, 61, 122, 183, 366
103 : 1, 103
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,366,103,323, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
366:2x 3x 61
103:103
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 10033398096/(1x206)
LCM = 10033398096/206
LCM = 48705816
Thus, we can understand that the LCM of 824,366,103,323 is 48705816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 366, 103, 323?
Answer: LCM of 824, 366, 103, 323 is 48705816.
2. How to calculate the LCM of 824, 366, 103, 323?
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 824, 366, 103, 323.
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}.