LCM of 519, 494, 748, 231, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 494, 748, 231, 456 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, 494, 748, 231, 456. So, keep reading to learn more.
Given numbers are 519,494,748,231,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,494,748,231,456 is 1342437096.
Find LCM of 519,494,748,231,456 with Prime Factorization
| 2 | 519, 494, 748, 231, 456 |
| 2 | 519, 247, 374, 231, 228 |
| 3 | 519, 247, 187, 231, 114 |
| 11 | 173, 247, 187, 77, 38 |
| 19 | 173, 247, 17, 7, 38 |
| 173, 13, 17, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 173 x 13 x 17 x 7 x 2 = 1342437096
Therefore, the lowest common multiple of 519,494,748,231,456 is 1342437096.
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 494 x 748 x 231 x 456 = 20200993420608
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
231 : 1, 3, 7, 11, 21, 33, 77, 231
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,494,748,231,456, is 1.
Now, the common factors can be found like this.
519:3x 173
494:2x 13x 19
748:2x 2x 11x 17
231:3x 7x 11
456:2x 2x 2x 3x 19
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 11x 19 = 15048
Therefore, the value for common factors is 15048.
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 = 20200993420608/(1x15048)
LCM = 20200993420608/15048
LCM = 1342437096
Thus, we can understand that the LCM of 519,494,748,231,456 is 1342437096.
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FAQs on LCM of 519, 494, 748, 231, 456
1. What is the LCM of 519, 494, 748, 231, 456?
Answer: LCM of 519, 494, 748, 231, 456 is 1342437096.
2. How to calculate the LCM of 519, 494, 748, 231, 456?
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, 494, 748, 231, 456.
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}.