LCM of 329, 741, 893, 204, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 741, 893, 204, 596 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, 741, 893, 204, 596. So, keep reading to learn more.
Given numbers are 329,741,893,204,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,741,893,204,596 is 2470070148.
Find LCM of 329,741,893,204,596 with Prime Factorization
| 2 | 329, 741, 893, 204, 596 |
| 2 | 329, 741, 893, 102, 298 |
| 3 | 329, 741, 893, 51, 149 |
| 19 | 329, 247, 893, 17, 149 |
| 47 | 329, 13, 47, 17, 149 |
| 7, 13, 1, 17, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 47 x 7 x 13 x 1 x 17 x 149 = 2470070148
Therefore, the lowest common multiple of 329,741,893,204,596 is 2470070148.
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 741 x 893 x 204 x 596 = 26469271705968
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
893 : 1, 19, 47, 893
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,741,893,204,596, is 1.
Now, the common factors can be found like this.
329:7x 47
741:3x 13x 19
893:19x 47
204:2x 2x 3x 17
596:2x 2x 149
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 19x 47 = 10716
Therefore, the value for common factors is 10716.
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 = 26469271705968/(1x10716)
LCM = 26469271705968/10716
LCM = 2470070148
Thus, we can understand that the LCM of 329,741,893,204,596 is 2470070148.
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FAQs on LCM of 329, 741, 893, 204, 596
1. What is the LCM of 329, 741, 893, 204, 596?
Answer: LCM of 329, 741, 893, 204, 596 is 2470070148.
2. How to calculate the LCM of 329, 741, 893, 204, 596?
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, 741, 893, 204, 596.
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}.