LCM of 668, 783, 486, 496, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 783, 486, 496, 462 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 668, 783, 486, 496, 462. So, keep reading to learn more.
Given numbers are 668,783,486,496,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,783,486,496,462 is 44946217008.
Find LCM of 668,783,486,496,462 with Prime Factorization
| 2 | 668, 783, 486, 496, 462 |
| 2 | 334, 783, 243, 248, 231 |
| 3 | 167, 783, 243, 124, 231 |
| 3 | 167, 261, 81, 124, 77 |
| 3 | 167, 87, 27, 124, 77 |
| 167, 29, 9, 124, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 167 x 29 x 9 x 124 x 77 = 44946217008
Therefore, the lowest common multiple of 668,783,486,496,462 is 44946217008.
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.
668 x 783 x 486 x 496 x 462 = 58250297242368
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.
668 : 1, 2, 4, 167, 334, 668
783 : 1, 3, 9, 27, 29, 87, 261, 783
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,783,486,496,462, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
783:3x 3x 3x 29
486:2x 3x 3x 3x 3x 3
496:2x 2x 2x 2x 31
462:2x 3x 7x 11
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 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 58250297242368/(1x1296)
LCM = 58250297242368/1296
LCM = 44946217008
Thus, we can understand that the LCM of 668,783,486,496,462 is 44946217008.
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FAQs on LCM of 668, 783, 486, 496, 462
1. What is the LCM of 668, 783, 486, 496, 462?
Answer: LCM of 668, 783, 486, 496, 462 is 44946217008.
2. How to calculate the LCM of 668, 783, 486, 496, 462?
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 668, 783, 486, 496, 462.
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}.