Find the LCM of 684, 646, 473, 729, 847 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 684, 646, 473, 729, 847. So, keep reading to learn more.
Given numbers are 684,646,473,729,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,646,473,729,847 is 34303774428.
Find LCM of 684,646,473,729,847 with Prime Factorization
2 | 684, 646, 473, 729, 847 |
3 | 342, 323, 473, 729, 847 |
3 | 114, 323, 473, 243, 847 |
11 | 38, 323, 473, 81, 847 |
19 | 38, 323, 43, 81, 77 |
2, 17, 43, 81, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 2 x 17 x 43 x 81 x 77 = 34303774428
Therefore, the lowest common multiple of 684,646,473,729,847 is 34303774428.
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.
684 x 646 x 473 x 729 x 847 = 129050799398136
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
646 : 1, 2, 17, 19, 34, 38, 323, 646
473 : 1, 11, 43, 473
729 : 1, 3, 9, 27, 81, 243, 729
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,646,473,729,847, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
646:2x 17x 19
473:11x 43
729:3x 3x 3x 3x 3x 3
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 19 = 3762
Therefore, the value for common factors is 3762.
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 = 129050799398136/(1x3762)
LCM = 129050799398136/3762
LCM = 34303774428
Thus, we can understand that the LCM of 684,646,473,729,847 is 34303774428.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 646, 473, 729, 847?
Answer: LCM of 684, 646, 473, 729, 847 is 34303774428.
2. How to calculate the LCM of 684, 646, 473, 729, 847?
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 684, 646, 473, 729, 847.
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}.