LCM of 729, 659, 506, 935, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 659, 506, 935, 663 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 729, 659, 506, 935, 663. So, keep reading to learn more.
Given numbers are 729,659,506,935,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,659,506,935,663 is 268612202430.
Find LCM of 729,659,506,935,663 with Prime Factorization
| 3 | 729, 659, 506, 935, 663 |
| 11 | 243, 659, 506, 935, 221 |
| 17 | 243, 659, 46, 85, 221 |
| 243, 659, 46, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 243 x 659 x 46 x 5 x 13 = 268612202430
Therefore, the lowest common multiple of 729,659,506,935,663 is 268612202430.
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.
729 x 659 x 506 x 935 x 663 = 150691445563230
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.
729 : 1, 3, 9, 27, 81, 243, 729
659 : 1, 659
506 : 1, 2, 11, 22, 23, 46, 253, 506
935 : 1, 5, 11, 17, 55, 85, 187, 935
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,659,506,935,663, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
659:659
506:2x 11x 23
935:5x 11x 17
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 150691445563230/(1x561)
LCM = 150691445563230/561
LCM = 268612202430
Thus, we can understand that the LCM of 729,659,506,935,663 is 268612202430.
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FAQs on LCM of 729, 659, 506, 935, 663
1. What is the LCM of 729, 659, 506, 935, 663?
Answer: LCM of 729, 659, 506, 935, 663 is 268612202430.
2. How to calculate the LCM of 729, 659, 506, 935, 663?
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 729, 659, 506, 935, 663.
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}.