LCM of 565, 470, 429, 320, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 470, 429, 320, 339 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 565, 470, 429, 320, 339. So, keep reading to learn more.
Given numbers are 565,470,429,320,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,470,429,320,339 is 729094080.
Find LCM of 565,470,429,320,339 with Prime Factorization
| 2 | 565, 470, 429, 320, 339 |
| 3 | 565, 235, 429, 160, 339 |
| 5 | 565, 235, 143, 160, 113 |
| 113 | 113, 47, 143, 32, 113 |
| 1, 47, 143, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 1 x 47 x 143 x 32 x 1 = 729094080
Therefore, the lowest common multiple of 565,470,429,320,339 is 729094080.
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.
565 x 470 x 429 x 320 x 339 = 12358144656000
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.
565 : 1, 5, 113, 565
470 : 1, 2, 5, 10, 47, 94, 235, 470
429 : 1, 3, 11, 13, 33, 39, 143, 429
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,470,429,320,339, is 1.
Now, the common factors can be found like this.
565:5x 113
470:2x 5x 47
429:3x 11x 13
320:2x 2x 2x 2x 2x 2x 5
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 113 = 16950
Therefore, the value for common factors is 16950.
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 = 12358144656000/(1x16950)
LCM = 12358144656000/16950
LCM = 729094080
Thus, we can understand that the LCM of 565,470,429,320,339 is 729094080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 470, 429, 320, 339
1. What is the LCM of 565, 470, 429, 320, 339?
Answer: LCM of 565, 470, 429, 320, 339 is 729094080.
2. How to calculate the LCM of 565, 470, 429, 320, 339?
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 565, 470, 429, 320, 339.
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}.