Find the LCM of 346, 581, 173, 123 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 346, 581, 173, 123. So, keep reading to learn more.
Given numbers are 346,581,173,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,581,173,123 is 24726198.
Find LCM of 346,581,173,123 with Prime Factorization
173 | 346, 581, 173, 123 |
2, 581, 1, 123 |
Multiply the prime numbers at the bottom and the left side.
173 x 2 x 581 x 1 x 123 = 24726198
Therefore, the lowest common multiple of 346,581,173,123 is 24726198.
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.
346 x 581 x 173 x 123 = 4277632254
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.
346 : 1, 2, 173, 346
581 : 1, 7, 83, 581
173 : 1, 173
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,581,173,123, is 1.
Now, the common factors can be found like this.
346:2x 173
581:7x 83
173:173
123:3x 41
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 = 4277632254/(1x173)
LCM = 4277632254/173
LCM = 24726198
Thus, we can understand that the LCM of 346,581,173,123 is 24726198.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 581, 173, 123?
Answer: LCM of 346, 581, 173, 123 is 24726198.
2. How to calculate the LCM of 346, 581, 173, 123?
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 346, 581, 173, 123.
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}.