LCM of 134, 314, 264, 384, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 314, 264, 384, 192 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 134, 314, 264, 384, 192. So, keep reading to learn more.
Given numbers are 134,314,264,384,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,314,264,384,192 is 44432256.
Find LCM of 134,314,264,384,192 with Prime Factorization
| 2 | 134, 314, 264, 384, 192 |
| 2 | 67, 157, 132, 192, 96 |
| 2 | 67, 157, 66, 48, 96 |
| 2 | 67, 157, 33, 24, 48 |
| 2 | 67, 157, 33, 12, 24 |
| 2 | 67, 157, 33, 6, 12 |
| 3 | 67, 157, 33, 3, 6 |
| 67, 157, 11, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 67 x 157 x 11 x 1 x 2 = 44432256
Therefore, the lowest common multiple of 134,314,264,384,192 is 44432256.
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.
134 x 314 x 264 x 384 x 192 = 818975342592
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.
134 : 1, 2, 67, 134
314 : 1, 2, 157, 314
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,314,264,384,192, is 2.
Now, the common factors can be found like this.
134:2x 67
314:2x 157
264:2x 2x 2x 3x 11
384:2x 2x 2x 2x 2x 2x 2x 3
192:2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 818975342592/(2x9216)
LCM = 818975342592/18432
LCM = 44432256
Thus, we can understand that the LCM of 134,314,264,384,192 is 44432256.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 134, 314, 264, 384, 192
1. What is the LCM of 134, 314, 264, 384, 192?
Answer: LCM of 134, 314, 264, 384, 192 is 44432256.
2. How to calculate the LCM of 134, 314, 264, 384, 192?
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 134, 314, 264, 384, 192.
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}.