LCM of 345, 580, 646, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 580, 646, 540 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 345, 580, 646, 540. So, keep reading to learn more.
Given numbers are 345,580,646,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,580,646,540 is 116338140.
Find LCM of 345,580,646,540 with Prime Factorization
| 2 | 345, 580, 646, 540 |
| 2 | 345, 290, 323, 270 |
| 3 | 345, 145, 323, 135 |
| 5 | 115, 145, 323, 45 |
| 23, 29, 323, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 29 x 323 x 9 = 116338140
Therefore, the lowest common multiple of 345,580,646,540 is 116338140.
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.
345 x 580 x 646 x 540 = 69802884000
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
646 : 1, 2, 17, 19, 34, 38, 323, 646
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,580,646,540, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
580:2x 2x 5x 29
646:2x 17x 19
540:2x 2x 3x 3x 3x 5
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 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 69802884000/(1x600)
LCM = 69802884000/600
LCM = 116338140
Thus, we can understand that the LCM of 345,580,646,540 is 116338140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 580, 646, 540
1. What is the LCM of 345, 580, 646, 540?
Answer: LCM of 345, 580, 646, 540 is 116338140.
2. How to calculate the LCM of 345, 580, 646, 540?
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 345, 580, 646, 540.
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}.