LCM of 264, 400, 615, 396, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 400, 615, 396, 257 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 264, 400, 615, 396, 257. So, keep reading to learn more.
Given numbers are 264,400,615,396,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,400,615,396,257 is 417265200.
Find LCM of 264,400,615,396,257 with Prime Factorization
| 2 | 264, 400, 615, 396, 257 |
| 2 | 132, 200, 615, 198, 257 |
| 2 | 66, 100, 615, 99, 257 |
| 3 | 33, 50, 615, 99, 257 |
| 5 | 11, 50, 205, 33, 257 |
| 11 | 11, 10, 41, 33, 257 |
| 1, 10, 41, 3, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 1 x 10 x 41 x 3 x 257 = 417265200
Therefore, the lowest common multiple of 264,400,615,396,257 is 417265200.
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.
264 x 400 x 615 x 396 x 257 = 6609480768000
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
615 : 1, 3, 5, 15, 41, 123, 205, 615
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,400,615,396,257, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
400:2x 2x 2x 2x 5x 5
615:3x 5x 41
396:2x 2x 3x 3x 11
257:257
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 3x 3x 5x 11 = 15840
Therefore, the value for common factors is 15840.
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 = 6609480768000/(1x15840)
LCM = 6609480768000/15840
LCM = 417265200
Thus, we can understand that the LCM of 264,400,615,396,257 is 417265200.
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FAQs on LCM of 264, 400, 615, 396, 257
1. What is the LCM of 264, 400, 615, 396, 257?
Answer: LCM of 264, 400, 615, 396, 257 is 417265200.
2. How to calculate the LCM of 264, 400, 615, 396, 257?
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 264, 400, 615, 396, 257.
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}.