LCM of 338, 409, 345, 275, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 409, 345, 275, 400 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 338, 409, 345, 275, 400. So, keep reading to learn more.
Given numbers are 338,409,345,275,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,409,345,275,400 is 20985135600.
Find LCM of 338,409,345,275,400 with Prime Factorization
| 2 | 338, 409, 345, 275, 400 |
| 5 | 169, 409, 345, 275, 200 |
| 5 | 169, 409, 69, 55, 40 |
| 169, 409, 69, 11, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 169 x 409 x 69 x 11 x 8 = 20985135600
Therefore, the lowest common multiple of 338,409,345,275,400 is 20985135600.
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.
338 x 409 x 345 x 275 x 400 = 5246283900000
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.
338 : 1, 2, 13, 26, 169, 338
409 : 1, 409
345 : 1, 3, 5, 15, 23, 69, 115, 345
275 : 1, 5, 11, 25, 55, 275
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,409,345,275,400, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
409:409
345:3x 5x 23
275:5x 5x 11
400:2x 2x 2x 2x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 5246283900000/(1x250)
LCM = 5246283900000/250
LCM = 20985135600
Thus, we can understand that the LCM of 338,409,345,275,400 is 20985135600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 409, 345, 275, 400
1. What is the LCM of 338, 409, 345, 275, 400?
Answer: LCM of 338, 409, 345, 275, 400 is 20985135600.
2. How to calculate the LCM of 338, 409, 345, 275, 400?
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 338, 409, 345, 275, 400.
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}.