LCM of 816, 750, 480, 219, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 750, 480, 219, 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 816, 750, 480, 219, 675. So, keep reading to learn more.
Given numbers are 816,750,480,219,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,750,480,219,675 is 134028000.
Find LCM of 816,750,480,219,675 with Prime Factorization
| 2 | 816, 750, 480, 219, 675 |
| 2 | 408, 375, 240, 219, 675 |
| 2 | 204, 375, 120, 219, 675 |
| 2 | 102, 375, 60, 219, 675 |
| 3 | 51, 375, 30, 219, 675 |
| 5 | 17, 125, 10, 73, 225 |
| 5 | 17, 25, 2, 73, 45 |
| 17, 5, 2, 73, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 5 x 2 x 73 x 9 = 134028000
Therefore, the lowest common multiple of 816,750,480,219,675 is 134028000.
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.
816 x 750 x 480 x 219 x 675 = 43425072000000
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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
219 : 1, 3, 73, 219
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,750,480,219,675, is 3.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
750:2x 3x 5x 5x 5
480:2x 2x 2x 2x 2x 3x 5
219:3x 73
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.
2x 2x 2x 2x 2x 3x 3x 3x 5x 5x 5 = 108000
Therefore, the value for common factors is 108000.
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 = 43425072000000/(3x108000)
LCM = 43425072000000/324000
LCM = 134028000
Thus, we can understand that the LCM of 816,750,480,219,675 is 134028000.
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FAQs on LCM of 816, 750, 480, 219, 675
1. What is the LCM of 816, 750, 480, 219, 675?
Answer: LCM of 816, 750, 480, 219, 675 is 134028000.
2. How to calculate the LCM of 816, 750, 480, 219, 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 816, 750, 480, 219, 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}.