Find the LCM of 294, 190, 208, 365 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 294, 190, 208, 365. So, keep reading to learn more.
Given numbers are 294,190,208,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,190,208,365 is 212044560.
Find LCM of 294,190,208,365 with Prime Factorization
2 | 294, 190, 208, 365 |
5 | 147, 95, 104, 365 |
147, 19, 104, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 147 x 19 x 104 x 73 = 212044560
Therefore, the lowest common multiple of 294,190,208,365 is 212044560.
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.
294 x 190 x 208 x 365 = 4240891200
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
190 : 1, 2, 5, 10, 19, 38, 95, 190
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,190,208,365, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
190:2x 5x 19
208:2x 2x 2x 2x 13
365:5x 73
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 5 = 20
Therefore, the value for common factors is 20.
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 = 4240891200/(1x20)
LCM = 4240891200/20
LCM = 212044560
Thus, we can understand that the LCM of 294,190,208,365 is 212044560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 294, 190, 208, 365?
Answer: LCM of 294, 190, 208, 365 is 212044560.
2. How to calculate the LCM of 294, 190, 208, 365?
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 294, 190, 208, 365.
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}.