Find the LCM of 965, 193, 940, 950, 635 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 965, 193, 940, 950, 635. So, keep reading to learn more.
Given numbers are 965,193,940,950,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,193,940,950,635 is 2188832300.
Find LCM of 965,193,940,950,635 with Prime Factorization
2 | 965, 193, 940, 950, 635 |
5 | 965, 193, 470, 475, 635 |
193 | 193, 193, 94, 95, 127 |
1, 1, 94, 95, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 193 x 1 x 1 x 94 x 95 x 127 = 2188832300
Therefore, the lowest common multiple of 965,193,940,950,635 is 2188832300.
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.
965 x 193 x 940 x 950 x 635 = 105611158475000
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.
965 : 1, 5, 193, 965
193 : 1, 193
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,193,940,950,635, is 1.
Now, the common factors can be found like this.
965:5x 193
193:193
940:2x 2x 5x 47
950:2x 5x 5x 19
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 193 = 48250
Therefore, the value for common factors is 48250.
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 = 105611158475000/(1x48250)
LCM = 105611158475000/48250
LCM = 2188832300
Thus, we can understand that the LCM of 965,193,940,950,635 is 2188832300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 193, 940, 950, 635?
Answer: LCM of 965, 193, 940, 950, 635 is 2188832300.
2. How to calculate the LCM of 965, 193, 940, 950, 635?
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 965, 193, 940, 950, 635.
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}.