Find the LCM of 713, 845, 851, 377, 181 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 713, 845, 851, 377, 181. So, keep reading to learn more.
Given numbers are 713,845,851,377,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,845,851,377,181 is 117010419305.
Find LCM of 713,845,851,377,181 with Prime Factorization
13 | 713, 845, 851, 377, 181 |
23 | 713, 65, 851, 29, 181 |
31, 65, 37, 29, 181 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 31 x 65 x 37 x 29 x 181 = 117010419305
Therefore, the lowest common multiple of 713,845,851,377,181 is 117010419305.
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.
713 x 845 x 851 x 377 x 181 = 34986115372195
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.
713 : 1, 23, 31, 713
845 : 1, 5, 13, 65, 169, 845
851 : 1, 23, 37, 851
377 : 1, 13, 29, 377
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,845,851,377,181, is 1.
Now, the common factors can be found like this.
713:23x 31
845:5x 13x 13
851:23x 37
377:13x 29
181:181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 34986115372195/(1x299)
LCM = 34986115372195/299
LCM = 117010419305
Thus, we can understand that the LCM of 713,845,851,377,181 is 117010419305.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 845, 851, 377, 181?
Answer: LCM of 713, 845, 851, 377, 181 is 117010419305.
2. How to calculate the LCM of 713, 845, 851, 377, 181?
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 713, 845, 851, 377, 181.
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}.