Find the LCM of 312, 975, 911, 178, 818 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 312, 975, 911, 178, 818. So, keep reading to learn more.
Given numbers are 312,975,911,178,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,975,911,178,818 is 258658225800.
Find LCM of 312,975,911,178,818 with Prime Factorization
2 | 312, 975, 911, 178, 818 |
3 | 156, 975, 911, 89, 409 |
13 | 52, 325, 911, 89, 409 |
4, 25, 911, 89, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 4 x 25 x 911 x 89 x 409 = 258658225800
Therefore, the lowest common multiple of 312,975,911,178,818 is 258658225800.
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.
312 x 975 x 911 x 178 x 818 = 40350683224800
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
911 : 1, 911
178 : 1, 2, 89, 178
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,975,911,178,818, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
975:3x 5x 5x 13
911:911
178:2x 89
818:2x 409
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 40350683224800/(1x156)
LCM = 40350683224800/156
LCM = 258658225800
Thus, we can understand that the LCM of 312,975,911,178,818 is 258658225800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 975, 911, 178, 818?
Answer: LCM of 312, 975, 911, 178, 818 is 258658225800.
2. How to calculate the LCM of 312, 975, 911, 178, 818?
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 312, 975, 911, 178, 818.
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}.