LCM of 457, 462, 180, 876, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 457, 462, 180, 876, 682 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 457, 462, 180, 876, 682. So, keep reading to learn more.
Given numbers are 457,462,180,876,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,462,180,876,682 is 14333887260.
Find LCM of 457,462,180,876,682 with Prime Factorization
| 2 | 457, 462, 180, 876, 682 |
| 2 | 457, 231, 90, 438, 341 |
| 3 | 457, 231, 45, 219, 341 |
| 11 | 457, 77, 15, 73, 341 |
| 457, 7, 15, 73, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 457 x 7 x 15 x 73 x 31 = 14333887260
Therefore, the lowest common multiple of 457,462,180,876,682 is 14333887260.
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.
457 x 462 x 180 x 876 x 682 = 22704877419840
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.
457 : 1, 457
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,462,180,876,682, is 1.
Now, the common factors can be found like this.
457:457
462:2x 3x 7x 11
180:2x 2x 3x 3x 5
876:2x 2x 3x 73
682:2x 11x 31
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 11 = 1584
Therefore, the value for common factors is 1584.
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 = 22704877419840/(1x1584)
LCM = 22704877419840/1584
LCM = 14333887260
Thus, we can understand that the LCM of 457,462,180,876,682 is 14333887260.
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FAQs on LCM of 457, 462, 180, 876, 682
1. What is the LCM of 457, 462, 180, 876, 682?
Answer: LCM of 457, 462, 180, 876, 682 is 14333887260.
2. How to calculate the LCM of 457, 462, 180, 876, 682?
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 457, 462, 180, 876, 682.
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}.