Find the LCM of 306, 675, 655, 393 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 306, 675, 655, 393. So, keep reading to learn more.
Given numbers are 306,675,655,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,675,655,393 is 3006450.
Find LCM of 306,675,655,393 with Prime Factorization
3 | 306, 675, 655, 393 |
3 | 102, 225, 655, 131 |
5 | 34, 75, 655, 131 |
131 | 34, 15, 131, 131 |
34, 15, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 131 x 34 x 15 x 1 x 1 = 3006450
Therefore, the lowest common multiple of 306,675,655,393 is 3006450.
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.
306 x 675 x 655 x 393 = 53169068250
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
655 : 1, 5, 131, 655
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,675,655,393, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
675:3x 3x 3x 5x 5
655:5x 131
393:3x 131
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 3x 5x 131 = 17685
Therefore, the value for common factors is 17685.
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 = 53169068250/(1x17685)
LCM = 53169068250/17685
LCM = 3006450
Thus, we can understand that the LCM of 306,675,655,393 is 3006450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 306, 675, 655, 393?
Answer: LCM of 306, 675, 655, 393 is 3006450.
2. How to calculate the LCM of 306, 675, 655, 393?
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 306, 675, 655, 393.
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}.