Find the LCM of 181, 772, 734, 281, 313 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 181, 772, 734, 281, 313. So, keep reading to learn more.
Given numbers are 181,772,734,281,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,772,734,281,313 is 4510374434732.
Find LCM of 181,772,734,281,313 with Prime Factorization
2 | 181, 772, 734, 281, 313 |
181, 386, 367, 281, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 386 x 367 x 281 x 313 = 4510374434732
Therefore, the lowest common multiple of 181,772,734,281,313 is 4510374434732.
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.
181 x 772 x 734 x 281 x 313 = 9020748869464
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.
181 : 1, 181
772 : 1, 2, 4, 193, 386, 772
734 : 1, 2, 367, 734
281 : 1, 281
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,772,734,281,313, is 1.
Now, the common factors can be found like this.
181:181
772:2x 2x 193
734:2x 367
281:281
313:313
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 = 9020748869464/(1x2)
LCM = 9020748869464/2
LCM = 4510374434732
Thus, we can understand that the LCM of 181,772,734,281,313 is 4510374434732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 181, 772, 734, 281, 313?
Answer: LCM of 181, 772, 734, 281, 313 is 4510374434732.
2. How to calculate the LCM of 181, 772, 734, 281, 313?
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 181, 772, 734, 281, 313.
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}.