LCM of 464, 453, 168, 939, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 453, 168, 939, 128 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 464, 453, 168, 939, 128. So, keep reading to learn more.
Given numbers are 464,453,168,939,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,453,168,939,128 is 3684245376.
Find LCM of 464,453,168,939,128 with Prime Factorization
| 2 | 464, 453, 168, 939, 128 |
| 2 | 232, 453, 84, 939, 64 |
| 2 | 116, 453, 42, 939, 32 |
| 2 | 58, 453, 21, 939, 16 |
| 3 | 29, 453, 21, 939, 8 |
| 29, 151, 7, 313, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 29 x 151 x 7 x 313 x 8 = 3684245376
Therefore, the lowest common multiple of 464,453,168,939,128 is 3684245376.
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.
464 x 453 x 168 x 939 x 128 = 4244250673152
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
453 : 1, 3, 151, 453
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
939 : 1, 3, 313, 939
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,453,168,939,128, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
453:3x 151
168:2x 2x 2x 3x 7
939:3x 313
128:2x 2x 2x 2x 2x 2x 2
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 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 4244250673152/(1x1152)
LCM = 4244250673152/1152
LCM = 3684245376
Thus, we can understand that the LCM of 464,453,168,939,128 is 3684245376.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 464, 453, 168, 939, 128
1. What is the LCM of 464, 453, 168, 939, 128?
Answer: LCM of 464, 453, 168, 939, 128 is 3684245376.
2. How to calculate the LCM of 464, 453, 168, 939, 128?
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 464, 453, 168, 939, 128.
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}.