Find the LCM of 667, 507, 174, 346 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 667, 507, 174, 346. So, keep reading to learn more.
Given numbers are 667,507,174,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,507,174,346 is 117006474.
Find LCM of 667,507,174,346 with Prime Factorization
2 | 667, 507, 174, 346 |
3 | 667, 507, 87, 173 |
29 | 667, 169, 29, 173 |
23, 169, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 23 x 169 x 1 x 173 = 117006474
Therefore, the lowest common multiple of 667,507,174,346 is 117006474.
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.
667 x 507 x 174 x 346 = 20359126476
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.
667 : 1, 23, 29, 667
507 : 1, 3, 13, 39, 169, 507
174 : 1, 2, 3, 6, 29, 58, 87, 174
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,507,174,346, is 1.
Now, the common factors can be found like this.
667:23x 29
507:3x 13x 13
174:2x 3x 29
346:2x 173
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 29 = 174
Therefore, the value for common factors is 174.
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 = 20359126476/(1x174)
LCM = 20359126476/174
LCM = 117006474
Thus, we can understand that the LCM of 667,507,174,346 is 117006474.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 507, 174, 346?
Answer: LCM of 667, 507, 174, 346 is 117006474.
2. How to calculate the LCM of 667, 507, 174, 346?
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 667, 507, 174, 346.
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}.