LCM of 682, 288, 533, 145, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 288, 533, 145, 486 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, 288, 533, 145, 486. So, keep reading to learn more.
Given numbers are 682,288,533,145,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,288,533,145,486 is 204930142560.
Find LCM of 682,288,533,145,486 with Prime Factorization
| 2 | 682, 288, 533, 145, 486 |
| 3 | 341, 144, 533, 145, 243 |
| 3 | 341, 48, 533, 145, 81 |
| 341, 16, 533, 145, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 341 x 16 x 533 x 145 x 27 = 204930142560
Therefore, the lowest common multiple of 682,288,533,145,486 is 204930142560.
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 288 x 533 x 145 x 486 = 7377485132160
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
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
533 : 1, 13, 41, 533
145 : 1, 5, 29, 145
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,288,533,145,486, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
288:2x 2x 2x 2x 2x 3x 3
533:13x 41
145:5x 29
486:2x 3x 3x 3x 3x 3
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 7377485132160/(1x36)
LCM = 7377485132160/36
LCM = 204930142560
Thus, we can understand that the LCM of 682,288,533,145,486 is 204930142560.
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FAQs on LCM of 682, 288, 533, 145, 486
1. What is the LCM of 682, 288, 533, 145, 486?
Answer: LCM of 682, 288, 533, 145, 486 is 204930142560.
2. How to calculate the LCM of 682, 288, 533, 145, 486?
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, 288, 533, 145, 486.
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}.