LCM of 565, 612, 323, 725, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 612, 323, 725, 342 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, 612, 323, 725, 342. So, keep reading to learn more.
Given numbers are 565,612,323,725,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,612,323,725,342 is 952623900.
Find LCM of 565,612,323,725,342 with Prime Factorization
| 2 | 565, 612, 323, 725, 342 |
| 3 | 565, 306, 323, 725, 171 |
| 3 | 565, 102, 323, 725, 57 |
| 5 | 565, 34, 323, 725, 19 |
| 17 | 113, 34, 323, 145, 19 |
| 19 | 113, 2, 19, 145, 19 |
| 113, 2, 1, 145, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 19 x 113 x 2 x 1 x 145 x 1 = 952623900
Therefore, the lowest common multiple of 565,612,323,725,342 is 952623900.
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 612 x 323 x 725 x 342 = 27692776773000
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
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
323 : 1, 17, 19, 323
725 : 1, 5, 25, 29, 145, 725
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,612,323,725,342, is 1.
Now, the common factors can be found like this.
565:5x 113
612:2x 2x 3x 3x 17
323:17x 19
725:5x 5x 29
342:2x 3x 3x 19
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 3x 5x 17x 19 = 29070
Therefore, the value for common factors is 29070.
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 = 27692776773000/(1x29070)
LCM = 27692776773000/29070
LCM = 952623900
Thus, we can understand that the LCM of 565,612,323,725,342 is 952623900.
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FAQs on LCM of 565, 612, 323, 725, 342
1. What is the LCM of 565, 612, 323, 725, 342?
Answer: LCM of 565, 612, 323, 725, 342 is 952623900.
2. How to calculate the LCM of 565, 612, 323, 725, 342?
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, 612, 323, 725, 342.
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}.