LCM of 412, 670, 614, 904, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 670, 614, 904, 536 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 412, 670, 614, 904, 536. So, keep reading to learn more.
Given numbers are 412,670,614,904,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,670,614,904,536 is 9576103640.
Find LCM of 412,670,614,904,536 with Prime Factorization
| 2 | 412, 670, 614, 904, 536 |
| 2 | 206, 335, 307, 452, 268 |
| 2 | 103, 335, 307, 226, 134 |
| 67 | 103, 335, 307, 113, 67 |
| 103, 5, 307, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 67 x 103 x 5 x 307 x 113 x 1 = 9576103640
Therefore, the lowest common multiple of 412,670,614,904,536 is 9576103640.
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.
412 x 670 x 614 x 904 x 536 = 82124664816640
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.
412 : 1, 2, 4, 103, 206, 412
670 : 1, 2, 5, 10, 67, 134, 335, 670
614 : 1, 2, 307, 614
904 : 1, 2, 4, 8, 113, 226, 452, 904
536 : 1, 2, 4, 8, 67, 134, 268, 536
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,670,614,904,536, is 2.
Now, the common factors can be found like this.
412:2x 2x 103
670:2x 5x 67
614:2x 307
904:2x 2x 2x 113
536:2x 2x 2x 67
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 2x 2x 67 = 4288
Therefore, the value for common factors is 4288.
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 = 82124664816640/(2x4288)
LCM = 82124664816640/8576
LCM = 9576103640
Thus, we can understand that the LCM of 412,670,614,904,536 is 9576103640.
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FAQs on LCM of 412, 670, 614, 904, 536
1. What is the LCM of 412, 670, 614, 904, 536?
Answer: LCM of 412, 670, 614, 904, 536 is 9576103640.
2. How to calculate the LCM of 412, 670, 614, 904, 536?
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 412, 670, 614, 904, 536.
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}.