Find the LCM of 152, 566, 180, 671, 366 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 152, 566, 180, 671, 366. So, keep reading to learn more.
Given numbers are 152,566,180,671,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,566,180,671,366 is 1298868120.
Find LCM of 152,566,180,671,366 with Prime Factorization
2 | 152, 566, 180, 671, 366 |
2 | 76, 283, 90, 671, 183 |
3 | 38, 283, 45, 671, 183 |
61 | 38, 283, 15, 671, 61 |
38, 283, 15, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 38 x 283 x 15 x 11 x 1 = 1298868120
Therefore, the lowest common multiple of 152,566,180,671,366 is 1298868120.
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.
152 x 566 x 180 x 671 x 366 = 3803085855360
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
566 : 1, 2, 283, 566
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
671 : 1, 11, 61, 671
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,566,180,671,366, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
566:2x 283
180:2x 2x 3x 3x 5
671:11x 61
366:2x 3x 61
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 2x 2x 3x 61 = 2928
Therefore, the value for common factors is 2928.
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 = 3803085855360/(1x2928)
LCM = 3803085855360/2928
LCM = 1298868120
Thus, we can understand that the LCM of 152,566,180,671,366 is 1298868120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 566, 180, 671, 366?
Answer: LCM of 152, 566, 180, 671, 366 is 1298868120.
2. How to calculate the LCM of 152, 566, 180, 671, 366?
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 152, 566, 180, 671, 366.
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}.