Find the LCM of 334, 598, 385, 305, 180 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 334, 598, 385, 305, 180. So, keep reading to learn more.
Given numbers are 334,598,385,305,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,598,385,305,180 is 42216354180.
Find LCM of 334,598,385,305,180 with Prime Factorization
2 | 334, 598, 385, 305, 180 |
5 | 167, 299, 385, 305, 90 |
167, 299, 77, 61, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 167 x 299 x 77 x 61 x 18 = 42216354180
Therefore, the lowest common multiple of 334,598,385,305,180 is 42216354180.
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.
334 x 598 x 385 x 305 x 180 = 4221635418000
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.
334 : 1, 2, 167, 334
598 : 1, 2, 13, 23, 26, 46, 299, 598
385 : 1, 5, 7, 11, 35, 55, 77, 385
305 : 1, 5, 61, 305
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,598,385,305,180, is 1.
Now, the common factors can be found like this.
334:2x 167
598:2x 13x 23
385:5x 7x 11
305:5x 61
180:2x 2x 3x 3x 5
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 4221635418000/(1x100)
LCM = 4221635418000/100
LCM = 42216354180
Thus, we can understand that the LCM of 334,598,385,305,180 is 42216354180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 598, 385, 305, 180?
Answer: LCM of 334, 598, 385, 305, 180 is 42216354180.
2. How to calculate the LCM of 334, 598, 385, 305, 180?
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 334, 598, 385, 305, 180.
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}.