Find the LCM of 671, 257, 261, 432, 145 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 671, 257, 261, 432, 145. So, keep reading to learn more.
Given numbers are 671,257,261,432,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,257,261,432,145 is 10802080080.
Find LCM of 671,257,261,432,145 with Prime Factorization
3 | 671, 257, 261, 432, 145 |
3 | 671, 257, 87, 144, 145 |
29 | 671, 257, 29, 48, 145 |
671, 257, 1, 48, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 671 x 257 x 1 x 48 x 5 = 10802080080
Therefore, the lowest common multiple of 671,257,261,432,145 is 10802080080.
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.
671 x 257 x 261 x 432 x 145 = 2819342900880
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.
671 : 1, 11, 61, 671
257 : 1, 257
261 : 1, 3, 9, 29, 87, 261
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,257,261,432,145, is 1.
Now, the common factors can be found like this.
671:11x 61
257:257
261:3x 3x 29
432:2x 2x 2x 2x 3x 3x 3
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 2819342900880/(1x261)
LCM = 2819342900880/261
LCM = 10802080080
Thus, we can understand that the LCM of 671,257,261,432,145 is 10802080080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 257, 261, 432, 145?
Answer: LCM of 671, 257, 261, 432, 145 is 10802080080.
2. How to calculate the LCM of 671, 257, 261, 432, 145?
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 671, 257, 261, 432, 145.
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}.