LCM of 487, 713, 414, 468, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 713, 414, 468, 376 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 487, 713, 414, 468, 376. So, keep reading to learn more.
Given numbers are 487,713,414,468,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,713,414,468,376 is 15275386152.
Find LCM of 487,713,414,468,376 with Prime Factorization
| 2 | 487, 713, 414, 468, 376 |
| 2 | 487, 713, 207, 234, 188 |
| 3 | 487, 713, 207, 117, 94 |
| 3 | 487, 713, 69, 39, 94 |
| 23 | 487, 713, 23, 13, 94 |
| 487, 31, 1, 13, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 487 x 31 x 1 x 13 x 94 = 15275386152
Therefore, the lowest common multiple of 487,713,414,468,376 is 15275386152.
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.
487 x 713 x 414 x 468 x 376 = 25296039467712
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.
487 : 1, 487
713 : 1, 23, 31, 713
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,713,414,468,376, is 1.
Now, the common factors can be found like this.
487:487
713:23x 31
414:2x 3x 3x 23
468:2x 2x 3x 3x 13
376:2x 2x 2x 47
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 23 = 1656
Therefore, the value for common factors is 1656.
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 = 25296039467712/(1x1656)
LCM = 25296039467712/1656
LCM = 15275386152
Thus, we can understand that the LCM of 487,713,414,468,376 is 15275386152.
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FAQs on LCM of 487, 713, 414, 468, 376
1. What is the LCM of 487, 713, 414, 468, 376?
Answer: LCM of 487, 713, 414, 468, 376 is 15275386152.
2. How to calculate the LCM of 487, 713, 414, 468, 376?
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 487, 713, 414, 468, 376.
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}.