Find the LCM of 236, 295, 178, 434 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 236, 295, 178, 434. So, keep reading to learn more.
Given numbers are 236,295,178,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,295,178,434 is 22789340.
Find LCM of 236,295,178,434 with Prime Factorization
2 | 236, 295, 178, 434 |
59 | 118, 295, 89, 217 |
2, 5, 89, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 2 x 5 x 89 x 217 = 22789340
Therefore, the lowest common multiple of 236,295,178,434 is 22789340.
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.
236 x 295 x 178 x 434 = 5378284240
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.
236 : 1, 2, 4, 59, 118, 236
295 : 1, 5, 59, 295
178 : 1, 2, 89, 178
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,295,178,434, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
295:5x 59
178:2x 89
434:2x 7x 31
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 59 = 236
Therefore, the value for common factors is 236.
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 = 5378284240/(1x236)
LCM = 5378284240/236
LCM = 22789340
Thus, we can understand that the LCM of 236,295,178,434 is 22789340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 295, 178, 434?
Answer: LCM of 236, 295, 178, 434 is 22789340.
2. How to calculate the LCM of 236, 295, 178, 434?
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 236, 295, 178, 434.
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}.