LCM of 519, 704, 220, 814, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 704, 220, 814, 785 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 519, 704, 220, 814, 785. So, keep reading to learn more.
Given numbers are 519,704,220,814,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,704,220,814,785 is 10612345920.
Find LCM of 519,704,220,814,785 with Prime Factorization
| 2 | 519, 704, 220, 814, 785 |
| 2 | 519, 352, 110, 407, 785 |
| 5 | 519, 176, 55, 407, 785 |
| 11 | 519, 176, 11, 407, 157 |
| 519, 16, 1, 37, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 519 x 16 x 1 x 37 x 157 = 10612345920
Therefore, the lowest common multiple of 519,704,220,814,785 is 10612345920.
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.
519 x 704 x 220 x 814 x 785 = 51363754252800
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.
519 : 1, 3, 173, 519
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
814 : 1, 2, 11, 22, 37, 74, 407, 814
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,704,220,814,785, is 1.
Now, the common factors can be found like this.
519:3x 173
704:2x 2x 2x 2x 2x 2x 11
220:2x 2x 5x 11
814:2x 11x 37
785:5x 157
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 11x 11 = 4840
Therefore, the value for common factors is 4840.
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 = 51363754252800/(1x4840)
LCM = 51363754252800/4840
LCM = 10612345920
Thus, we can understand that the LCM of 519,704,220,814,785 is 10612345920.
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FAQs on LCM of 519, 704, 220, 814, 785
1. What is the LCM of 519, 704, 220, 814, 785?
Answer: LCM of 519, 704, 220, 814, 785 is 10612345920.
2. How to calculate the LCM of 519, 704, 220, 814, 785?
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 519, 704, 220, 814, 785.
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}.