LCM of 493, 256, 438, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 256, 438, 957 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 493, 256, 438, 957. So, keep reading to learn more.
Given numbers are 493,256,438,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,256,438,957 is 304035072.
Find LCM of 493,256,438,957 with Prime Factorization
| 2 | 493, 256, 438, 957 |
| 3 | 493, 128, 219, 957 |
| 29 | 493, 128, 73, 319 |
| 17, 128, 73, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 17 x 128 x 73 x 11 = 304035072
Therefore, the lowest common multiple of 493,256,438,957 is 304035072.
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.
493 x 256 x 438 x 957 = 52902102528
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.
493 : 1, 17, 29, 493
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
438 : 1, 2, 3, 6, 73, 146, 219, 438
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,256,438,957, is 1.
Now, the common factors can be found like this.
493:17x 29
256:2x 2x 2x 2x 2x 2x 2x 2
438:2x 3x 73
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 52902102528/(1x174)
LCM = 52902102528/174
LCM = 304035072
Thus, we can understand that the LCM of 493,256,438,957 is 304035072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 256, 438, 957
1. What is the LCM of 493, 256, 438, 957?
Answer: LCM of 493, 256, 438, 957 is 304035072.
2. How to calculate the LCM of 493, 256, 438, 957?
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 493, 256, 438, 957.
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}.