Find the LCM of 300, 680, 229, 214 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, 680, 229, 214. So, keep reading to learn more.
Given numbers are 300,680,229,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,680,229,214 is 249930600.
Find LCM of 300,680,229,214 with Prime Factorization
2 | 300, 680, 229, 214 |
2 | 150, 340, 229, 107 |
5 | 75, 170, 229, 107 |
15, 34, 229, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 15 x 34 x 229 x 107 = 249930600
Therefore, the lowest common multiple of 300,680,229,214 is 249930600.
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 680 x 229 x 214 = 9997224000
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
229 : 1, 229
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,680,229,214, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
680:2x 2x 2x 5x 17
229:229
214:2x 107
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 5 = 40
Therefore, the value for common factors is 40.
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 = 9997224000/(1x40)
LCM = 9997224000/40
LCM = 249930600
Thus, we can understand that the LCM of 300,680,229,214 is 249930600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 300, 680, 229, 214?
Answer: LCM of 300, 680, 229, 214 is 249930600.
2. How to calculate the LCM of 300, 680, 229, 214?
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, 680, 229, 214.
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}.