LCM of 582, 606, 965, 860, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 606, 965, 860, 614 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 582, 606, 965, 860, 614. So, keep reading to learn more.
Given numbers are 582,606,965,860,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,606,965,860,614 is 1497643681260.
Find LCM of 582,606,965,860,614 with Prime Factorization
| 2 | 582, 606, 965, 860, 614 |
| 3 | 291, 303, 965, 430, 307 |
| 5 | 97, 101, 965, 430, 307 |
| 97, 101, 193, 86, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 97 x 101 x 193 x 86 x 307 = 1497643681260
Therefore, the lowest common multiple of 582,606,965,860,614 is 1497643681260.
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.
582 x 606 x 965 x 860 x 614 = 179717241751200
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
606 : 1, 2, 3, 6, 101, 202, 303, 606
965 : 1, 5, 193, 965
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,606,965,860,614, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
606:2x 3x 101
965:5x 193
860:2x 2x 5x 43
614:2x 307
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 5 = 120
Therefore, the value for common factors is 120.
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 = 179717241751200/(1x120)
LCM = 179717241751200/120
LCM = 1497643681260
Thus, we can understand that the LCM of 582,606,965,860,614 is 1497643681260.
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FAQs on LCM of 582, 606, 965, 860, 614
1. What is the LCM of 582, 606, 965, 860, 614?
Answer: LCM of 582, 606, 965, 860, 614 is 1497643681260.
2. How to calculate the LCM of 582, 606, 965, 860, 614?
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 582, 606, 965, 860, 614.
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}.