Find the LCM of 841, 544, 221, 949 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 841, 544, 221, 949. So, keep reading to learn more.
Given numbers are 841,544,221,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,544,221,949 is 434171296.
Find LCM of 841,544,221,949 with Prime Factorization
13 | 841, 544, 221, 949 |
17 | 841, 544, 17, 73 |
841, 32, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 841 x 32 x 1 x 73 = 434171296
Therefore, the lowest common multiple of 841,544,221,949 is 434171296.
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.
841 x 544 x 221 x 949 = 95951856416
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.
841 : 1, 29, 841
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
221 : 1, 13, 17, 221
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,544,221,949, is 1.
Now, the common factors can be found like this.
841:29x 29
544:2x 2x 2x 2x 2x 17
221:13x 17
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 95951856416/(1x221)
LCM = 95951856416/221
LCM = 434171296
Thus, we can understand that the LCM of 841,544,221,949 is 434171296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 841, 544, 221, 949?
Answer: LCM of 841, 544, 221, 949 is 434171296.
2. How to calculate the LCM of 841, 544, 221, 949?
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 841, 544, 221, 949.
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}.