LCM of 257, 803, 514, 404, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 803, 514, 404, 477 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 257, 803, 514, 404, 477. So, keep reading to learn more.
Given numbers are 257,803,514,404,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,803,514,404,477 is 39769342668.
Find LCM of 257,803,514,404,477 with Prime Factorization
| 2 | 257, 803, 514, 404, 477 |
| 257 | 257, 803, 257, 202, 477 |
| 1, 803, 1, 202, 477 |
Multiply the prime numbers at the bottom and the left side.
2 x 257 x 1 x 803 x 1 x 202 x 477 = 39769342668
Therefore, the lowest common multiple of 257,803,514,404,477 is 39769342668.
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.
257 x 803 x 514 x 404 x 477 = 20441442131352
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.
257 : 1, 257
803 : 1, 11, 73, 803
514 : 1, 2, 257, 514
404 : 1, 2, 4, 101, 202, 404
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,803,514,404,477, is 1.
Now, the common factors can be found like this.
257:257
803:11x 73
514:2x 257
404:2x 2x 101
477:3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 257 = 514
Therefore, the value for common factors is 514.
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 = 20441442131352/(1x514)
LCM = 20441442131352/514
LCM = 39769342668
Thus, we can understand that the LCM of 257,803,514,404,477 is 39769342668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 257, 803, 514, 404, 477
1. What is the LCM of 257, 803, 514, 404, 477?
Answer: LCM of 257, 803, 514, 404, 477 is 39769342668.
2. How to calculate the LCM of 257, 803, 514, 404, 477?
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 257, 803, 514, 404, 477.
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}.