LCM of 582, 540, 456, 361, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 540, 456, 361, 686 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, 540, 456, 361, 686. So, keep reading to learn more.
Given numbers are 582,540,456,361,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,540,456,361,686 is 12971697480.
Find LCM of 582,540,456,361,686 with Prime Factorization
| 2 | 582, 540, 456, 361, 686 |
| 2 | 291, 270, 228, 361, 343 |
| 3 | 291, 135, 114, 361, 343 |
| 19 | 97, 45, 38, 361, 343 |
| 97, 45, 2, 19, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 97 x 45 x 2 x 19 x 343 = 12971697480
Therefore, the lowest common multiple of 582,540,456,361,686 is 12971697480.
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 540 x 456 x 361 x 686 = 35490564305280
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
361 : 1, 19, 361
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,540,456,361,686, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
540:2x 2x 3x 3x 3x 5
456:2x 2x 2x 3x 19
361:19x 19
686:2x 7x 7x 7
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 3x 19 = 2736
Therefore, the value for common factors is 2736.
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 = 35490564305280/(1x2736)
LCM = 35490564305280/2736
LCM = 12971697480
Thus, we can understand that the LCM of 582,540,456,361,686 is 12971697480.
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FAQs on LCM of 582, 540, 456, 361, 686
1. What is the LCM of 582, 540, 456, 361, 686?
Answer: LCM of 582, 540, 456, 361, 686 is 12971697480.
2. How to calculate the LCM of 582, 540, 456, 361, 686?
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, 540, 456, 361, 686.
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}.