Find the LCM of 247, 312, 531, 993 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 247, 312, 531, 993. So, keep reading to learn more.
Given numbers are 247,312,531,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,312,531,993 is 347303736.
Find LCM of 247,312,531,993 with Prime Factorization
3 | 247, 312, 531, 993 |
13 | 247, 104, 177, 331 |
19, 8, 177, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 8 x 177 x 331 = 347303736
Therefore, the lowest common multiple of 247,312,531,993 is 347303736.
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.
247 x 312 x 531 x 993 = 40634537112
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.
247 : 1, 13, 19, 247
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
531 : 1, 3, 9, 59, 177, 531
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,312,531,993, is 1.
Now, the common factors can be found like this.
247:13x 19
312:2x 2x 2x 3x 13
531:3x 3x 59
993:3x 331
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 13 = 117
Therefore, the value for common factors is 117.
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 = 40634537112/(1x117)
LCM = 40634537112/117
LCM = 347303736
Thus, we can understand that the LCM of 247,312,531,993 is 347303736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 247, 312, 531, 993?
Answer: LCM of 247, 312, 531, 993 is 347303736.
2. How to calculate the LCM of 247, 312, 531, 993?
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 247, 312, 531, 993.
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}.