Find the LCM of 995, 181, 974, 836, 243 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 995, 181, 974, 836, 243. So, keep reading to learn more.
Given numbers are 995,181,974,836,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,181,974,836,243 is 17817352322220.
Find LCM of 995,181,974,836,243 with Prime Factorization
2 | 995, 181, 974, 836, 243 |
995, 181, 487, 418, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 995 x 181 x 487 x 418 x 243 = 17817352322220
Therefore, the lowest common multiple of 995,181,974,836,243 is 17817352322220.
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.
995 x 181 x 974 x 836 x 243 = 35634704644440
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.
995 : 1, 5, 199, 995
181 : 1, 181
974 : 1, 2, 487, 974
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,181,974,836,243, is 1.
Now, the common factors can be found like this.
995:5x 199
181:181
974:2x 487
836:2x 2x 11x 19
243:3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 35634704644440/(1x2)
LCM = 35634704644440/2
LCM = 17817352322220
Thus, we can understand that the LCM of 995,181,974,836,243 is 17817352322220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 181, 974, 836, 243?
Answer: LCM of 995, 181, 974, 836, 243 is 17817352322220.
2. How to calculate the LCM of 995, 181, 974, 836, 243?
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 995, 181, 974, 836, 243.
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}.