Find the LCM of 253, 789, 772, 995, 258 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 253, 789, 772, 995, 258. So, keep reading to learn more.
Given numbers are 253,789,772,995,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,789,772,995,258 is 6593353502340.
Find LCM of 253,789,772,995,258 with Prime Factorization
2 | 253, 789, 772, 995, 258 |
3 | 253, 789, 386, 995, 129 |
253, 263, 386, 995, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 253 x 263 x 386 x 995 x 43 = 6593353502340
Therefore, the lowest common multiple of 253,789,772,995,258 is 6593353502340.
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.
253 x 789 x 772 x 995 x 258 = 39560121014040
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.
253 : 1, 11, 23, 253
789 : 1, 3, 263, 789
772 : 1, 2, 4, 193, 386, 772
995 : 1, 5, 199, 995
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,789,772,995,258, is 1.
Now, the common factors can be found like this.
253:11x 23
789:3x 263
772:2x 2x 193
995:5x 199
258:2x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 39560121014040/(1x6)
LCM = 39560121014040/6
LCM = 6593353502340
Thus, we can understand that the LCM of 253,789,772,995,258 is 6593353502340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 789, 772, 995, 258?
Answer: LCM of 253, 789, 772, 995, 258 is 6593353502340.
2. How to calculate the LCM of 253, 789, 772, 995, 258?
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 253, 789, 772, 995, 258.
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}.