Find the LCM of 184, 972, 135, 788, 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 184, 972, 135, 788, 257. So, keep reading to learn more.
Given numbers are 184,972,135,788,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,972,135,788,257 is 11318619240.
Find LCM of 184,972,135,788,257 with Prime Factorization
2 | 184, 972, 135, 788, 257 |
2 | 92, 486, 135, 394, 257 |
3 | 46, 243, 135, 197, 257 |
3 | 46, 81, 45, 197, 257 |
3 | 46, 27, 15, 197, 257 |
46, 9, 5, 197, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 46 x 9 x 5 x 197 x 257 = 11318619240
Therefore, the lowest common multiple of 184,972,135,788,257 is 11318619240.
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.
184 x 972 x 135 x 788 x 257 = 4889643511680
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
135 : 1, 3, 5, 9, 15, 27, 45, 135
788 : 1, 2, 4, 197, 394, 788
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,972,135,788,257, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
972:2x 2x 3x 3x 3x 3x 3
135:3x 3x 3x 5
788:2x 2x 197
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 4889643511680/(1x432)
LCM = 4889643511680/432
LCM = 11318619240
Thus, we can understand that the LCM of 184,972,135,788,257 is 11318619240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 184, 972, 135, 788, 257?
Answer: LCM of 184, 972, 135, 788, 257 is 11318619240.
2. How to calculate the LCM of 184, 972, 135, 788, 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 184, 972, 135, 788, 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}.