LCM of 920, 682, 659, 735, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 682, 659, 735, 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 920, 682, 659, 735, 462. So, keep reading to learn more.
Given numbers are 920,682,659,735,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,682,659,735,462 is 30390997560.
Find LCM of 920,682,659,735,462 with Prime Factorization
| 2 | 920, 682, 659, 735, 462 |
| 3 | 460, 341, 659, 735, 231 |
| 5 | 460, 341, 659, 245, 77 |
| 7 | 92, 341, 659, 49, 77 |
| 11 | 92, 341, 659, 7, 11 |
| 92, 31, 659, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 92 x 31 x 659 x 7 x 1 = 30390997560
Therefore, the lowest common multiple of 920,682,659,735,462 is 30390997560.
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.
920 x 682 x 659 x 735 x 462 = 140406408727200
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
682 : 1, 2, 11, 22, 31, 62, 341, 682
659 : 1, 659
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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 920,682,659,735,462, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
682:2x 11x 31
659:659
735:3x 5x 7x 7
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 3x 5x 7x 11 = 4620
Therefore, the value for common factors is 4620.
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 = 140406408727200/(1x4620)
LCM = 140406408727200/4620
LCM = 30390997560
Thus, we can understand that the LCM of 920,682,659,735,462 is 30390997560.
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FAQs on LCM of 920, 682, 659, 735, 462
1. What is the LCM of 920, 682, 659, 735, 462?
Answer: LCM of 920, 682, 659, 735, 462 is 30390997560.
2. How to calculate the LCM of 920, 682, 659, 735, 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 920, 682, 659, 735, 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}.