LCM of 513, 861, 671, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 861, 671, 946 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, 861, 671, 946. So, keep reading to learn more.
Given numbers are 513,861,671,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,861,671,946 is 8496112086.
Find LCM of 513,861,671,946 with Prime Factorization
| 3 | 513, 861, 671, 946 |
| 11 | 171, 287, 671, 946 |
| 171, 287, 61, 86 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 171 x 287 x 61 x 86 = 8496112086
Therefore, the lowest common multiple of 513,861,671,946 is 8496112086.
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 861 x 671 x 946 = 280371698838
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
671 : 1, 11, 61, 671
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,861,671,946, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
861:3x 7x 41
671:11x 61
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 280371698838/(1x33)
LCM = 280371698838/33
LCM = 8496112086
Thus, we can understand that the LCM of 513,861,671,946 is 8496112086.
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, 861, 671, 946
1. What is the LCM of 513, 861, 671, 946?
Answer: LCM of 513, 861, 671, 946 is 8496112086.
2. How to calculate the LCM of 513, 861, 671, 946?
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, 861, 671, 946.
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}.