LCM of 597, 337, 495, 465, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 337, 495, 465, 729 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 597, 337, 495, 465, 729. So, keep reading to learn more.
Given numbers are 597,337,495,465,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,337,495,465,729 is 83355620535.
Find LCM of 597,337,495,465,729 with Prime Factorization
| 3 | 597, 337, 495, 465, 729 |
| 3 | 199, 337, 165, 155, 243 |
| 5 | 199, 337, 55, 155, 81 |
| 199, 337, 11, 31, 81 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 199 x 337 x 11 x 31 x 81 = 83355620535
Therefore, the lowest common multiple of 597,337,495,465,729 is 83355620535.
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.
597 x 337 x 495 x 465 x 729 = 33759026316675
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.
597 : 1, 3, 199, 597
337 : 1, 337
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
465 : 1, 3, 5, 15, 31, 93, 155, 465
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,337,495,465,729, is 1.
Now, the common factors can be found like this.
597:3x 199
337:337
495:3x 3x 5x 11
465:3x 5x 31
729:3x 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.
3x 3x 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 33759026316675/(1x405)
LCM = 33759026316675/405
LCM = 83355620535
Thus, we can understand that the LCM of 597,337,495,465,729 is 83355620535.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 597, 337, 495, 465, 729
1. What is the LCM of 597, 337, 495, 465, 729?
Answer: LCM of 597, 337, 495, 465, 729 is 83355620535.
2. How to calculate the LCM of 597, 337, 495, 465, 729?
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 597, 337, 495, 465, 729.
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}.