LCM of 582, 686, 638, 312, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 686, 638, 312, 377 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, 686, 638, 312, 377. So, keep reading to learn more.
Given numbers are 582,686,638,312,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,686,638,312,377 is 3311396088.
Find LCM of 582,686,638,312,377 with Prime Factorization
| 2 | 582, 686, 638, 312, 377 |
| 3 | 291, 343, 319, 156, 377 |
| 13 | 97, 343, 319, 52, 377 |
| 29 | 97, 343, 319, 4, 29 |
| 97, 343, 11, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 97 x 343 x 11 x 4 x 1 = 3311396088
Therefore, the lowest common multiple of 582,686,638,312,377 is 3311396088.
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 686 x 638 x 312 x 377 = 29961511804224
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
638 : 1, 2, 11, 22, 29, 58, 319, 638
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,686,638,312,377, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
686:2x 7x 7x 7
638:2x 11x 29
312:2x 2x 2x 3x 13
377:13x 29
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 13x 29 = 9048
Therefore, the value for common factors is 9048.
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 = 29961511804224/(1x9048)
LCM = 29961511804224/9048
LCM = 3311396088
Thus, we can understand that the LCM of 582,686,638,312,377 is 3311396088.
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FAQs on LCM of 582, 686, 638, 312, 377
1. What is the LCM of 582, 686, 638, 312, 377?
Answer: LCM of 582, 686, 638, 312, 377 is 3311396088.
2. How to calculate the LCM of 582, 686, 638, 312, 377?
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, 686, 638, 312, 377.
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}.