LCM of 329, 693, 599, 315, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 693, 599, 315, 677 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 329, 693, 599, 315, 677. So, keep reading to learn more.
Given numbers are 329,693,599,315,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,693,599,315,677 is 66041448165.
Find LCM of 329,693,599,315,677 with Prime Factorization
| 3 | 329, 693, 599, 315, 677 |
| 3 | 329, 231, 599, 105, 677 |
| 7 | 329, 77, 599, 35, 677 |
| 47, 11, 599, 5, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 47 x 11 x 599 x 5 x 677 = 66041448165
Therefore, the lowest common multiple of 329,693,599,315,677 is 66041448165.
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.
329 x 693 x 599 x 315 x 677 = 29124278640765
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.
329 : 1, 7, 47, 329
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
599 : 1, 599
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,693,599,315,677, is 1.
Now, the common factors can be found like this.
329:7x 47
693:3x 3x 7x 11
599:599
315:3x 3x 5x 7
677:677
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 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 29124278640765/(1x441)
LCM = 29124278640765/441
LCM = 66041448165
Thus, we can understand that the LCM of 329,693,599,315,677 is 66041448165.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 329, 693, 599, 315, 677
1. What is the LCM of 329, 693, 599, 315, 677?
Answer: LCM of 329, 693, 599, 315, 677 is 66041448165.
2. How to calculate the LCM of 329, 693, 599, 315, 677?
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 329, 693, 599, 315, 677.
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}.