LCM of 768, 456, 409, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 456, 409, 361 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 768, 456, 409, 361. So, keep reading to learn more.
Given numbers are 768,456,409,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,456,409,361 is 113394432.
Find LCM of 768,456,409,361 with Prime Factorization
| 2 | 768, 456, 409, 361 |
| 2 | 384, 228, 409, 361 |
| 2 | 192, 114, 409, 361 |
| 3 | 96, 57, 409, 361 |
| 19 | 32, 19, 409, 361 |
| 32, 1, 409, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 32 x 1 x 409 x 19 = 113394432
Therefore, the lowest common multiple of 768,456,409,361 is 113394432.
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.
768 x 456 x 409 x 361 = 51707860992
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
409 : 1, 409
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,456,409,361, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
456:2x 2x 2x 3x 19
409:409
361:19x 19
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 51707860992/(1x456)
LCM = 51707860992/456
LCM = 113394432
Thus, we can understand that the LCM of 768,456,409,361 is 113394432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 768, 456, 409, 361
1. What is the LCM of 768, 456, 409, 361?
Answer: LCM of 768, 456, 409, 361 is 113394432.
2. How to calculate the LCM of 768, 456, 409, 361?
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 768, 456, 409, 361.
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}.