LCM of 513, 817, 677, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 817, 677, 333 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 513, 817, 677, 333. So, keep reading to learn more.
Given numbers are 513,817,677,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,817,677,333 is 552555891.
Find LCM of 513,817,677,333 with Prime Factorization
| 3 | 513, 817, 677, 333 |
| 3 | 171, 817, 677, 111 |
| 19 | 57, 817, 677, 37 |
| 3, 43, 677, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 3 x 43 x 677 x 37 = 552555891
Therefore, the lowest common multiple of 513,817,677,333 is 552555891.
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.
513 x 817 x 677 x 333 = 94487057361
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
817 : 1, 19, 43, 817
677 : 1, 677
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,817,677,333, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
817:19x 43
677:677
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 94487057361/(1x171)
LCM = 94487057361/171
LCM = 552555891
Thus, we can understand that the LCM of 513,817,677,333 is 552555891.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 817, 677, 333
1. What is the LCM of 513, 817, 677, 333?
Answer: LCM of 513, 817, 677, 333 is 552555891.
2. How to calculate the LCM of 513, 817, 677, 333?
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 513, 817, 677, 333.
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}.