LCM of 762, 504, 812, 514, 439
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 504, 812, 514, 439 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 762, 504, 812, 514, 439. So, keep reading to learn more.
Given numbers are 762,504,812,514,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,504,812,514,439 is 209425662936.
Find LCM of 762,504,812,514,439 with Prime Factorization
| 2 | 762, 504, 812, 514, 439 |
| 2 | 381, 252, 406, 257, 439 |
| 3 | 381, 126, 203, 257, 439 |
| 7 | 127, 42, 203, 257, 439 |
| 127, 6, 29, 257, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 127 x 6 x 29 x 257 x 439 = 209425662936
Therefore, the lowest common multiple of 762,504,812,514,439 is 209425662936.
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.
762 x 504 x 812 x 514 x 439 = 70367022746496
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
514 : 1, 2, 257, 514
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,504,812,514,439, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
504:2x 2x 2x 3x 3x 7
812:2x 2x 7x 29
514:2x 257
439:439
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 70367022746496/(1x336)
LCM = 70367022746496/336
LCM = 209425662936
Thus, we can understand that the LCM of 762,504,812,514,439 is 209425662936.
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FAQs on LCM of 762, 504, 812, 514, 439
1. What is the LCM of 762, 504, 812, 514, 439?
Answer: LCM of 762, 504, 812, 514, 439 is 209425662936.
2. How to calculate the LCM of 762, 504, 812, 514, 439?
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 762, 504, 812, 514, 439.
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}.