Find the LCM of 967, 731, 973, 17 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 967, 731, 973, 17. So, keep reading to learn more.
Given numbers are 967,731,973,17
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,731,973,17 is 687791321.
Find LCM of 967,731,973,17 with Prime Factorization
17 | 967, 731, 973, 17 |
967, 43, 973, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 967 x 43 x 973 x 1 = 687791321
Therefore, the lowest common multiple of 967,731,973,17 is 687791321.
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.
967 x 731 x 973 x 17 = 11692452457
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.
967 : 1, 967
731 : 1, 17, 43, 731
973 : 1, 7, 139, 973
17 : 1, 17
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,731,973,17, is 1.
Now, the common factors can be found like this.
967:967
731:17x 43
973:7x 139
17:17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 11692452457/(1x17)
LCM = 11692452457/17
LCM = 687791321
Thus, we can understand that the LCM of 967,731,973,17 is 687791321.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 731, 973, 17?
Answer: LCM of 967, 731, 973, 17 is 687791321.
2. How to calculate the LCM of 967, 731, 973, 17?
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 967, 731, 973, 17.
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}.