Find the LCM of 379, 221, 182, 949, 731 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 379, 221, 182, 949, 731. So, keep reading to learn more.
Given numbers are 379,221,182,949,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,221,182,949,731 is 3680873014.
Find LCM of 379,221,182,949,731 with Prime Factorization
13 | 379, 221, 182, 949, 731 |
17 | 379, 17, 14, 73, 731 |
379, 1, 14, 73, 43 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 379 x 1 x 14 x 73 x 43 = 3680873014
Therefore, the lowest common multiple of 379,221,182,949,731 is 3680873014.
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.
379 x 221 x 182 x 949 x 731 = 10575148169222
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.
379 : 1, 379
221 : 1, 13, 17, 221
182 : 1, 2, 7, 13, 14, 26, 91, 182
949 : 1, 13, 73, 949
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,221,182,949,731, is 1.
Now, the common factors can be found like this.
379:379
221:13x 17
182:2x 7x 13
949:13x 73
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 17 = 2873
Therefore, the value for common factors is 2873.
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 = 10575148169222/(1x2873)
LCM = 10575148169222/2873
LCM = 3680873014
Thus, we can understand that the LCM of 379,221,182,949,731 is 3680873014.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 221, 182, 949, 731?
Answer: LCM of 379, 221, 182, 949, 731 is 3680873014.
2. How to calculate the LCM of 379, 221, 182, 949, 731?
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 379, 221, 182, 949, 731.
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}.