LCM of 345, 516, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 516, 645 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, 516, 645. So, keep reading to learn more.
Given numbers are 345,516,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,516,645 is 59340.
Find LCM of 345,516,645 with Prime Factorization
| 3 | 345, 516, 645 |
| 5 | 115, 172, 215 |
| 43 | 23, 172, 43 |
| 23, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 23 x 4 x 1 = 59340
Therefore, the lowest common multiple of 345,516,645 is 59340.
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 516 x 645 = 114822900
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
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
645 : 1, 3, 5, 15, 43, 129, 215, 645
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,516,645, is 3.
Now, the common factors can be found like this.
345:3x 5x 23
516:2x 2x 3x 43
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 43 = 645
Therefore, the value for common factors is 645.
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 = 114822900/(3x645)
LCM = 114822900/1935
LCM = 59340
Thus, we can understand that the LCM of 345,516,645 is 59340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 516, 645
1. What is the LCM of 345, 516, 645?
Answer: LCM of 345, 516, 645 is 59340.
2. How to calculate the LCM of 345, 516, 645?
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, 516, 645.
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}.