Find the LCM of 321, 152, 465, 675 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 321, 152, 465, 675. So, keep reading to learn more.
Given numbers are 321,152,465,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,152,465,675 is 340324200.
Find LCM of 321,152,465,675 with Prime Factorization
3 | 321, 152, 465, 675 |
5 | 107, 152, 155, 225 |
107, 152, 31, 45 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 107 x 152 x 31 x 45 = 340324200
Therefore, the lowest common multiple of 321,152,465,675 is 340324200.
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.
321 x 152 x 465 x 675 = 15314589000
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.
321 : 1, 3, 107, 321
152 : 1, 2, 4, 8, 19, 38, 76, 152
465 : 1, 3, 5, 15, 31, 93, 155, 465
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,152,465,675, is 1.
Now, the common factors can be found like this.
321:3x 107
152:2x 2x 2x 19
465:3x 5x 31
675:3x 3x 3x 5x 5
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 5 = 45
Therefore, the value for common factors is 45.
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 = 15314589000/(1x45)
LCM = 15314589000/45
LCM = 340324200
Thus, we can understand that the LCM of 321,152,465,675 is 340324200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 152, 465, 675?
Answer: LCM of 321, 152, 465, 675 is 340324200.
2. How to calculate the LCM of 321, 152, 465, 675?
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 321, 152, 465, 675.
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}.