LCM of 784, 540, 459, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 540, 459, 610 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 784, 540, 459, 610. So, keep reading to learn more.
Given numbers are 784,540,459,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,540,459,610 is 109756080.
Find LCM of 784,540,459,610 with Prime Factorization
| 2 | 784, 540, 459, 610 |
| 2 | 392, 270, 459, 305 |
| 3 | 196, 135, 459, 305 |
| 3 | 196, 45, 153, 305 |
| 3 | 196, 15, 51, 305 |
| 5 | 196, 5, 17, 305 |
| 196, 1, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 196 x 1 x 17 x 61 = 109756080
Therefore, the lowest common multiple of 784,540,459,610 is 109756080.
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.
784 x 540 x 459 x 610 = 118536566400
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
459 : 1, 3, 9, 17, 27, 51, 153, 459
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,540,459,610, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
540:2x 2x 3x 3x 3x 5
459:3x 3x 3x 17
610:2x 5x 61
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 118536566400/(1x1080)
LCM = 118536566400/1080
LCM = 109756080
Thus, we can understand that the LCM of 784,540,459,610 is 109756080.
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FAQs on LCM of 784, 540, 459, 610
1. What is the LCM of 784, 540, 459, 610?
Answer: LCM of 784, 540, 459, 610 is 109756080.
2. How to calculate the LCM of 784, 540, 459, 610?
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 784, 540, 459, 610.
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}.