LCM of 682, 222, 747, 594, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 222, 747, 594, 286 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 682, 222, 747, 594, 286. So, keep reading to learn more.
Given numbers are 682,222,747,594,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,222,747,594,286 is 735142122.
Find LCM of 682,222,747,594,286 with Prime Factorization
| 2 | 682, 222, 747, 594, 286 |
| 3 | 341, 111, 747, 297, 143 |
| 3 | 341, 37, 249, 99, 143 |
| 11 | 341, 37, 83, 33, 143 |
| 31, 37, 83, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 31 x 37 x 83 x 3 x 13 = 735142122
Therefore, the lowest common multiple of 682,222,747,594,286 is 735142122.
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.
682 x 222 x 747 x 594 x 286 = 19213674500592
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
222 : 1, 2, 3, 6, 37, 74, 111, 222
747 : 1, 3, 9, 83, 249, 747
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,222,747,594,286, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
222:2x 3x 37
747:3x 3x 83
594:2x 3x 3x 3x 11
286:2x 11x 13
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 3x 3x 11x 11 = 26136
Therefore, the value for common factors is 26136.
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 = 19213674500592/(1x26136)
LCM = 19213674500592/26136
LCM = 735142122
Thus, we can understand that the LCM of 682,222,747,594,286 is 735142122.
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FAQs on LCM of 682, 222, 747, 594, 286
1. What is the LCM of 682, 222, 747, 594, 286?
Answer: LCM of 682, 222, 747, 594, 286 is 735142122.
2. How to calculate the LCM of 682, 222, 747, 594, 286?
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 682, 222, 747, 594, 286.
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}.