Find the LCM of 718, 904, 174, 271, 678 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 718, 904, 174, 271, 678. So, keep reading to learn more.
Given numbers are 718,904,174,271,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,904,174,271,678 is 7651585272.
Find LCM of 718,904,174,271,678 with Prime Factorization
2 | 718, 904, 174, 271, 678 |
3 | 359, 452, 87, 271, 339 |
113 | 359, 452, 29, 271, 113 |
359, 4, 29, 271, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 359 x 4 x 29 x 271 x 1 = 7651585272
Therefore, the lowest common multiple of 718,904,174,271,678 is 7651585272.
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.
718 x 904 x 174 x 271 x 678 = 20751099257664
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.
718 : 1, 2, 359, 718
904 : 1, 2, 4, 8, 113, 226, 452, 904
174 : 1, 2, 3, 6, 29, 58, 87, 174
271 : 1, 271
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,904,174,271,678, is 1.
Now, the common factors can be found like this.
718:2x 359
904:2x 2x 2x 113
174:2x 3x 29
271:271
678:2x 3x 113
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 2x 3x 113 = 2712
Therefore, the value for common factors is 2712.
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 = 20751099257664/(1x2712)
LCM = 20751099257664/2712
LCM = 7651585272
Thus, we can understand that the LCM of 718,904,174,271,678 is 7651585272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 718, 904, 174, 271, 678?
Answer: LCM of 718, 904, 174, 271, 678 is 7651585272.
2. How to calculate the LCM of 718, 904, 174, 271, 678?
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 718, 904, 174, 271, 678.
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}.