LCM of 380, 814, 785, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 814, 785, 480 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 380, 814, 785, 480. So, keep reading to learn more.
Given numbers are 380,814,785,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,814,785,480 is 582758880.
Find LCM of 380,814,785,480 with Prime Factorization
| 2 | 380, 814, 785, 480 |
| 2 | 190, 407, 785, 240 |
| 5 | 95, 407, 785, 120 |
| 19, 407, 157, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 407 x 157 x 24 = 582758880
Therefore, the lowest common multiple of 380,814,785,480 is 582758880.
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.
380 x 814 x 785 x 480 = 116551776000
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
814 : 1, 2, 11, 22, 37, 74, 407, 814
785 : 1, 5, 157, 785
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,814,785,480, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
814:2x 11x 37
785:5x 157
480:2x 2x 2x 2x 2x 3x 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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 116551776000/(1x200)
LCM = 116551776000/200
LCM = 582758880
Thus, we can understand that the LCM of 380,814,785,480 is 582758880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 814, 785, 480
1. What is the LCM of 380, 814, 785, 480?
Answer: LCM of 380, 814, 785, 480 is 582758880.
2. How to calculate the LCM of 380, 814, 785, 480?
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 380, 814, 785, 480.
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}.