LCM of 300, 780, 684, 988, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 780, 684, 988, 328 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 300, 780, 684, 988, 328. So, keep reading to learn more.
Given numbers are 300,780,684,988,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,780,684,988,328 is 18228600.
Find LCM of 300,780,684,988,328 with Prime Factorization
| 2 | 300, 780, 684, 988, 328 |
| 2 | 150, 390, 342, 494, 164 |
| 3 | 75, 195, 171, 247, 82 |
| 5 | 25, 65, 57, 247, 82 |
| 13 | 5, 13, 57, 247, 82 |
| 19 | 5, 1, 57, 19, 82 |
| 5, 1, 3, 1, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 5 x 1 x 3 x 1 x 82 = 18228600
Therefore, the lowest common multiple of 300,780,684,988,328 is 18228600.
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.
300 x 780 x 684 x 988 x 328 = 51868387584000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
328 : 1, 2, 4, 8, 41, 82, 164, 328
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,780,684,988,328, is 4.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
780:2x 2x 3x 5x 13
684:2x 2x 3x 3x 19
988:2x 2x 13x 19
328:2x 2x 2x 41
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 2x 2x 3x 3x 5x 13x 19 = 711360
Therefore, the value for common factors is 711360.
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 = 51868387584000/(4x711360)
LCM = 51868387584000/2845440
LCM = 18228600
Thus, we can understand that the LCM of 300,780,684,988,328 is 18228600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 300, 780, 684, 988, 328
1. What is the LCM of 300, 780, 684, 988, 328?
Answer: LCM of 300, 780, 684, 988, 328 is 18228600.
2. How to calculate the LCM of 300, 780, 684, 988, 328?
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 300, 780, 684, 988, 328.
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}.