LCM of 300, 604, 246, 604, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 604, 246, 604, 985 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 300, 604, 246, 604, 985. So, keep reading to learn more.
Given numbers are 300,604,246,604,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,604,246,604,985 is 365888100.
Find LCM of 300,604,246,604,985 with Prime Factorization
| 2 | 300, 604, 246, 604, 985 |
| 2 | 150, 302, 123, 302, 985 |
| 3 | 75, 151, 123, 151, 985 |
| 5 | 25, 151, 41, 151, 985 |
| 151 | 5, 151, 41, 151, 197 |
| 5, 1, 41, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 151 x 5 x 1 x 41 x 1 x 197 = 365888100
Therefore, the lowest common multiple of 300,604,246,604,985 is 365888100.
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.
300 x 604 x 246 x 604 x 985 = 26519569488000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
604 : 1, 2, 4, 151, 302, 604
246 : 1, 2, 3, 6, 41, 82, 123, 246
604 : 1, 2, 4, 151, 302, 604
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,604,246,604,985, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
604:2x 2x 151
246:2x 3x 41
604:2x 2x 151
985:5x 197
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 2x 2x 2x 3x 5x 151 = 72480
Therefore, the value for common factors is 72480.
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 = 26519569488000/(1x72480)
LCM = 26519569488000/72480
LCM = 365888100
Thus, we can understand that the LCM of 300,604,246,604,985 is 365888100.
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FAQs on LCM of 300, 604, 246, 604, 985
1. What is the LCM of 300, 604, 246, 604, 985?
Answer: LCM of 300, 604, 246, 604, 985 is 365888100.
2. How to calculate the LCM of 300, 604, 246, 604, 985?
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 300, 604, 246, 604, 985.
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}.