LCM of 867, 480, 578, 720, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 480, 578, 720, 704 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 867, 480, 578, 720, 704. So, keep reading to learn more.
Given numbers are 867,480,578,720,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,480,578,720,704 is 9155520.
Find LCM of 867,480,578,720,704 with Prime Factorization
| 2 | 867, 480, 578, 720, 704 |
| 2 | 867, 240, 289, 360, 352 |
| 2 | 867, 120, 289, 180, 176 |
| 2 | 867, 60, 289, 90, 88 |
| 2 | 867, 30, 289, 45, 44 |
| 3 | 867, 15, 289, 45, 22 |
| 5 | 289, 5, 289, 15, 22 |
| 17 | 289, 1, 289, 3, 22 |
| 17 | 17, 1, 17, 3, 22 |
| 1, 1, 1, 3, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 17 x 1 x 1 x 1 x 3 x 22 = 9155520
Therefore, the lowest common multiple of 867,480,578,720,704 is 9155520.
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.
867 x 480 x 578 x 720 x 704 = 121925158502400
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.
867 : 1, 3, 17, 51, 289, 867
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
578 : 1, 2, 17, 34, 289, 578
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,480,578,720,704, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
480:2x 2x 2x 2x 2x 3x 5
578:2x 17x 17
720:2x 2x 2x 2x 3x 3x 5
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 2x 2x 3x 3x 5x 17x 17 = 13317120
Therefore, the value for common factors is 13317120.
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 = 121925158502400/(1x13317120)
LCM = 121925158502400/13317120
LCM = 9155520
Thus, we can understand that the LCM of 867,480,578,720,704 is 9155520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 480, 578, 720, 704
1. What is the LCM of 867, 480, 578, 720, 704?
Answer: LCM of 867, 480, 578, 720, 704 is 9155520.
2. How to calculate the LCM of 867, 480, 578, 720, 704?
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 867, 480, 578, 720, 704.
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}.