LCM of 582, 704, 368, 263, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 704, 368, 263, 692 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, 704, 368, 263, 692. So, keep reading to learn more.
Given numbers are 582,704,368,263,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,704,368,263,692 is 214385464128.
Find LCM of 582,704,368,263,692 with Prime Factorization
| 2 | 582, 704, 368, 263, 692 |
| 2 | 291, 352, 184, 263, 346 |
| 2 | 291, 176, 92, 263, 173 |
| 2 | 291, 88, 46, 263, 173 |
| 291, 44, 23, 263, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 291 x 44 x 23 x 263 x 173 = 214385464128
Therefore, the lowest common multiple of 582,704,368,263,692 is 214385464128.
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 704 x 368 x 263 x 692 = 27441339408384
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
263 : 1, 263
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,704,368,263,692, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
704:2x 2x 2x 2x 2x 2x 11
368:2x 2x 2x 2x 23
263:263
692:2x 2x 173
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 2 = 128
Therefore, the value for common factors is 128.
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 = 27441339408384/(1x128)
LCM = 27441339408384/128
LCM = 214385464128
Thus, we can understand that the LCM of 582,704,368,263,692 is 214385464128.
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FAQs on LCM of 582, 704, 368, 263, 692
1. What is the LCM of 582, 704, 368, 263, 692?
Answer: LCM of 582, 704, 368, 263, 692 is 214385464128.
2. How to calculate the LCM of 582, 704, 368, 263, 692?
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, 704, 368, 263, 692.
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}.