LCM of 296, 390, 346, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 390, 346, 415 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 296, 390, 346, 415. So, keep reading to learn more.
Given numbers are 296,390,346,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,390,346,415 is 828801480.
Find LCM of 296,390,346,415 with Prime Factorization
| 2 | 296, 390, 346, 415 |
| 5 | 148, 195, 173, 415 |
| 148, 39, 173, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 148 x 39 x 173 x 83 = 828801480
Therefore, the lowest common multiple of 296,390,346,415 is 828801480.
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.
296 x 390 x 346 x 415 = 16576029600
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
346 : 1, 2, 173, 346
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,390,346,415, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
390:2x 3x 5x 13
346:2x 173
415:5x 83
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 = 16576029600/(1x20)
LCM = 16576029600/20
LCM = 828801480
Thus, we can understand that the LCM of 296,390,346,415 is 828801480.
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FAQs on LCM of 296, 390, 346, 415
1. What is the LCM of 296, 390, 346, 415?
Answer: LCM of 296, 390, 346, 415 is 828801480.
2. How to calculate the LCM of 296, 390, 346, 415?
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 296, 390, 346, 415.
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}.