LCM of 513, 561, 561, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 561, 561, 414 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, 561, 561, 414. So, keep reading to learn more.
Given numbers are 513,561,561,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,561,561,414 is 4412826.
Find LCM of 513,561,561,414 with Prime Factorization
| 3 | 513, 561, 561, 414 |
| 3 | 171, 187, 187, 138 |
| 11 | 57, 187, 187, 46 |
| 17 | 57, 17, 17, 46 |
| 57, 1, 1, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 17 x 57 x 1 x 1 x 46 = 4412826
Therefore, the lowest common multiple of 513,561,561,414 is 4412826.
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 561 x 561 x 414 = 66841075422
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
561 : 1, 3, 11, 17, 33, 51, 187, 561
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,561,561,414, is 3.
Now, the common factors can be found like this.
513:3x 3x 3x 19
561:3x 11x 17
561:3x 11x 17
414:2x 3x 3x 23
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 3x 11x 17 = 5049
Therefore, the value for common factors is 5049.
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 = 66841075422/(3x5049)
LCM = 66841075422/15147
LCM = 4412826
Thus, we can understand that the LCM of 513,561,561,414 is 4412826.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 561, 561, 414
1. What is the LCM of 513, 561, 561, 414?
Answer: LCM of 513, 561, 561, 414 is 4412826.
2. How to calculate the LCM of 513, 561, 561, 414?
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, 561, 561, 414.
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}.