LCM of 780, 513, 236, 969, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 513, 236, 969, 829 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 780, 513, 236, 969, 829. So, keep reading to learn more.
Given numbers are 780,513,236,969,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,513,236,969,829 is 110903736060.
Find LCM of 780,513,236,969,829 with Prime Factorization
| 2 | 780, 513, 236, 969, 829 |
| 2 | 390, 513, 118, 969, 829 |
| 3 | 195, 513, 59, 969, 829 |
| 19 | 65, 171, 59, 323, 829 |
| 65, 9, 59, 17, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 65 x 9 x 59 x 17 x 829 = 110903736060
Therefore, the lowest common multiple of 780,513,236,969,829 is 110903736060.
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.
780 x 513 x 236 x 969 x 829 = 75858155465040
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
513 : 1, 3, 9, 19, 27, 57, 171, 513
236 : 1, 2, 4, 59, 118, 236
969 : 1, 3, 17, 19, 51, 57, 323, 969
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,513,236,969,829, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
513:3x 3x 3x 19
236:2x 2x 59
969:3x 17x 19
829:829
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 75858155465040/(1x684)
LCM = 75858155465040/684
LCM = 110903736060
Thus, we can understand that the LCM of 780,513,236,969,829 is 110903736060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 780, 513, 236, 969, 829
1. What is the LCM of 780, 513, 236, 969, 829?
Answer: LCM of 780, 513, 236, 969, 829 is 110903736060.
2. How to calculate the LCM of 780, 513, 236, 969, 829?
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 780, 513, 236, 969, 829.
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}.