Find the LCM of 433, 135, 845, 828, 294 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 433, 135, 845, 828, 294. So, keep reading to learn more.
Given numbers are 433,135,845,828,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,135,845,828,294 is 44534058660.
Find LCM of 433,135,845,828,294 with Prime Factorization
2 | 433, 135, 845, 828, 294 |
3 | 433, 135, 845, 414, 147 |
3 | 433, 45, 845, 138, 49 |
5 | 433, 15, 845, 46, 49 |
433, 3, 169, 46, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 433 x 3 x 169 x 46 x 49 = 44534058660
Therefore, the lowest common multiple of 433,135,845,828,294 is 44534058660.
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.
433 x 135 x 845 x 828 x 294 = 12024195838200
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.
433 : 1, 433
135 : 1, 3, 5, 9, 15, 27, 45, 135
845 : 1, 5, 13, 65, 169, 845
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,135,845,828,294, is 1.
Now, the common factors can be found like this.
433:433
135:3x 3x 3x 5
845:5x 13x 13
828:2x 2x 3x 3x 23
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 12024195838200/(1x270)
LCM = 12024195838200/270
LCM = 44534058660
Thus, we can understand that the LCM of 433,135,845,828,294 is 44534058660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 135, 845, 828, 294?
Answer: LCM of 433, 135, 845, 828, 294 is 44534058660.
2. How to calculate the LCM of 433, 135, 845, 828, 294?
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 433, 135, 845, 828, 294.
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}.