Find the LCM of 471, 173, 692 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 471, 173, 692. So, keep reading to learn more.
Given numbers are 471,173,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,173,692 is 325932.
Find LCM of 471,173,692 with Prime Factorization
173 | 471, 173, 692 |
471, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
173 x 471 x 1 x 4 = 325932
Therefore, the lowest common multiple of 471,173,692 is 325932.
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.
471 x 173 x 692 = 56386236
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.
471 : 1, 3, 157, 471
173 : 1, 173
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,173,692, is 1.
Now, the common factors can be found like this.
471:3x 157
173:173
692:2x 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.
173 = 173
Therefore, the value for common factors is 173.
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 = 56386236/(1x173)
LCM = 56386236/173
LCM = 325932
Thus, we can understand that the LCM of 471,173,692 is 325932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 173, 692?
Answer: LCM of 471, 173, 692 is 325932.
2. How to calculate the LCM of 471, 173, 692?
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 471, 173, 692.
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}.