Find the LCM of 204, 578, 578, 180, 646 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 204, 578, 578, 180, 646. So, keep reading to learn more.
Given numbers are 204,578,578,180,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,578,578,180,646 is 988380.
Find LCM of 204,578,578,180,646 with Prime Factorization
2 | 204, 578, 578, 180, 646 |
2 | 102, 289, 289, 90, 323 |
3 | 51, 289, 289, 45, 323 |
17 | 17, 289, 289, 15, 323 |
17 | 1, 17, 17, 15, 19 |
1, 1, 1, 15, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 17 x 1 x 1 x 1 x 15 x 19 = 988380
Therefore, the lowest common multiple of 204,578,578,180,646 is 988380.
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.
204 x 578 x 578 x 180 x 646 = 7924846654080
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
578 : 1, 2, 17, 34, 289, 578
578 : 1, 2, 17, 34, 289, 578
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,578,578,180,646, is 2.
Now, the common factors can be found like this.
204:2x 2x 3x 17
578:2x 17x 17
578:2x 17x 17
180:2x 2x 3x 3x 5
646:2x 17x 19
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 17x 17x 17x 17 = 4009008
Therefore, the value for common factors is 4009008.
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 = 7924846654080/(2x4009008)
LCM = 7924846654080/8018016
LCM = 988380
Thus, we can understand that the LCM of 204,578,578,180,646 is 988380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 204, 578, 578, 180, 646?
Answer: LCM of 204, 578, 578, 180, 646 is 988380.
2. How to calculate the LCM of 204, 578, 578, 180, 646?
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 204, 578, 578, 180, 646.
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}.