LCM of 315, 308, 298, 358, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 308, 298, 358, 409 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 315, 308, 298, 358, 409. So, keep reading to learn more.
Given numbers are 315,308,298,358,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,308,298,358,409 is 151190964540.
Find LCM of 315,308,298,358,409 with Prime Factorization
| 2 | 315, 308, 298, 358, 409 |
| 7 | 315, 154, 149, 179, 409 |
| 45, 22, 149, 179, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 45 x 22 x 149 x 179 x 409 = 151190964540
Therefore, the lowest common multiple of 315,308,298,358,409 is 151190964540.
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.
315 x 308 x 298 x 358 x 409 = 4233347007120
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
298 : 1, 2, 149, 298
358 : 1, 2, 179, 358
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,308,298,358,409, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
308:2x 2x 7x 11
298:2x 149
358:2x 179
409:409
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 7 = 28
Therefore, the value for common factors is 28.
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 = 4233347007120/(1x28)
LCM = 4233347007120/28
LCM = 151190964540
Thus, we can understand that the LCM of 315,308,298,358,409 is 151190964540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 308, 298, 358, 409
1. What is the LCM of 315, 308, 298, 358, 409?
Answer: LCM of 315, 308, 298, 358, 409 is 151190964540.
2. How to calculate the LCM of 315, 308, 298, 358, 409?
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 315, 308, 298, 358, 409.
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}.