LCM of 519, 748, 422, 814, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 748, 422, 814, 952 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, 748, 422, 814, 952. So, keep reading to learn more.
Given numbers are 519,748,422,814,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,748,422,814,952 is 42430795176.
Find LCM of 519,748,422,814,952 with Prime Factorization
| 2 | 519, 748, 422, 814, 952 |
| 2 | 519, 374, 211, 407, 476 |
| 11 | 519, 187, 211, 407, 238 |
| 17 | 519, 17, 211, 37, 238 |
| 519, 1, 211, 37, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 519 x 1 x 211 x 37 x 14 = 42430795176
Therefore, the lowest common multiple of 519,748,422,814,952 is 42430795176.
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 748 x 422 x 814 x 952 = 126952939166592
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
422 : 1, 2, 211, 422
814 : 1, 2, 11, 22, 37, 74, 407, 814
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,748,422,814,952, is 1.
Now, the common factors can be found like this.
519:3x 173
748:2x 2x 11x 17
422:2x 211
814:2x 11x 37
952:2x 2x 2x 7x 17
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 126952939166592/(1x2992)
LCM = 126952939166592/2992
LCM = 42430795176
Thus, we can understand that the LCM of 519,748,422,814,952 is 42430795176.
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FAQs on LCM of 519, 748, 422, 814, 952
1. What is the LCM of 519, 748, 422, 814, 952?
Answer: LCM of 519, 748, 422, 814, 952 is 42430795176.
2. How to calculate the LCM of 519, 748, 422, 814, 952?
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, 748, 422, 814, 952.
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}.