Find the LCM of 356, 303, 303, 295 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 356, 303, 303, 295. So, keep reading to learn more.
Given numbers are 356,303,303,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,303,303,295 is 31821060.
Find LCM of 356,303,303,295 with Prime Factorization
3 | 356, 303, 303, 295 |
101 | 356, 101, 101, 295 |
356, 1, 1, 295 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 356 x 1 x 1 x 295 = 31821060
Therefore, the lowest common multiple of 356,303,303,295 is 31821060.
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.
356 x 303 x 303 x 295 = 9641781180
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.
356 : 1, 2, 4, 89, 178, 356
303 : 1, 3, 101, 303
303 : 1, 3, 101, 303
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,303,303,295, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
303:3x 101
303:3x 101
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 101 = 303
Therefore, the value for common factors is 303.
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 = 9641781180/(1x303)
LCM = 9641781180/303
LCM = 31821060
Thus, we can understand that the LCM of 356,303,303,295 is 31821060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 356, 303, 303, 295?
Answer: LCM of 356, 303, 303, 295 is 31821060.
2. How to calculate the LCM of 356, 303, 303, 295?
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 356, 303, 303, 295.
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}.