LCM of 513, 741, 663, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 741, 663, 963 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, 741, 663, 963. So, keep reading to learn more.
Given numbers are 513,741,663,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,741,663,963 is 12130911.
Find LCM of 513,741,663,963 with Prime Factorization
| 3 | 513, 741, 663, 963 |
| 3 | 171, 247, 221, 321 |
| 13 | 57, 247, 221, 107 |
| 19 | 57, 19, 17, 107 |
| 3, 1, 17, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 19 x 3 x 1 x 17 x 107 = 12130911
Therefore, the lowest common multiple of 513,741,663,963 is 12130911.
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 741 x 663 x 963 = 242703136377
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
663 : 1, 3, 13, 17, 39, 51, 221, 663
963 : 1, 3, 9, 107, 321, 963
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,741,663,963, is 3.
Now, the common factors can be found like this.
513:3x 3x 3x 19
741:3x 13x 19
663:3x 13x 17
963:3x 3x 107
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 13x 19 = 6669
Therefore, the value for common factors is 6669.
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 = 242703136377/(3x6669)
LCM = 242703136377/20007
LCM = 12130911
Thus, we can understand that the LCM of 513,741,663,963 is 12130911.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 741, 663, 963
1. What is the LCM of 513, 741, 663, 963?
Answer: LCM of 513, 741, 663, 963 is 12130911.
2. How to calculate the LCM of 513, 741, 663, 963?
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, 741, 663, 963.
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}.