LCM of 257, 442, 996, 298, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 442, 996, 298, 900 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, 442, 996, 298, 900. So, keep reading to learn more.
Given numbers are 257,442,996,298,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,442,996,298,900 is 632167649100.
Find LCM of 257,442,996,298,900 with Prime Factorization
| 2 | 257, 442, 996, 298, 900 |
| 2 | 257, 221, 498, 149, 450 |
| 3 | 257, 221, 249, 149, 225 |
| 257, 221, 83, 149, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 257 x 221 x 83 x 149 x 75 = 632167649100
Therefore, the lowest common multiple of 257,442,996,298,900 is 632167649100.
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 442 x 996 x 298 x 900 = 30344047156800
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
298 : 1, 2, 149, 298
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,442,996,298,900, is 1.
Now, the common factors can be found like this.
257:257
442:2x 13x 17
996:2x 2x 3x 83
298:2x 149
900:2x 2x 3x 3x 5x 5
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 3 = 48
Therefore, the value for common factors is 48.
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 = 30344047156800/(1x48)
LCM = 30344047156800/48
LCM = 632167649100
Thus, we can understand that the LCM of 257,442,996,298,900 is 632167649100.
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FAQs on LCM of 257, 442, 996, 298, 900
1. What is the LCM of 257, 442, 996, 298, 900?
Answer: LCM of 257, 442, 996, 298, 900 is 632167649100.
2. How to calculate the LCM of 257, 442, 996, 298, 900?
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, 442, 996, 298, 900.
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}.