LCM of 513, 611, 612, 743, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 611, 612, 743, 833 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, 611, 612, 743, 833. So, keep reading to learn more.
Given numbers are 513,611,612,743,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,611,612,743,833 is 775983312468.
Find LCM of 513,611,612,743,833 with Prime Factorization
| 3 | 513, 611, 612, 743, 833 |
| 3 | 171, 611, 204, 743, 833 |
| 17 | 57, 611, 68, 743, 833 |
| 57, 611, 4, 743, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 57 x 611 x 4 x 743 x 49 = 775983312468
Therefore, the lowest common multiple of 513,611,612,743,833 is 775983312468.
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 611 x 612 x 743 x 833 = 118725446807604
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
611 : 1, 13, 47, 611
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
743 : 1, 743
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,611,612,743,833, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
611:13x 47
612:2x 2x 3x 3x 17
743:743
833:7x 7x 17
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 17 = 153
Therefore, the value for common factors is 153.
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 = 118725446807604/(1x153)
LCM = 118725446807604/153
LCM = 775983312468
Thus, we can understand that the LCM of 513,611,612,743,833 is 775983312468.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 513, 611, 612, 743, 833
1. What is the LCM of 513, 611, 612, 743, 833?
Answer: LCM of 513, 611, 612, 743, 833 is 775983312468.
2. How to calculate the LCM of 513, 611, 612, 743, 833?
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, 611, 612, 743, 833.
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}.