LCM of 591, 221, 338, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 221, 338, 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 591, 221, 338, 949. So, keep reading to learn more.
Given numbers are 591,221,338,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,221,338,949 is 247899678.
Find LCM of 591,221,338,949 with Prime Factorization
| 13 | 591, 221, 338, 949 |
| 591, 17, 26, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 591 x 17 x 26 x 73 = 247899678
Therefore, the lowest common multiple of 591,221,338,949 is 247899678.
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.
591 x 221 x 338 x 949 = 41895045582
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.
591 : 1, 3, 197, 591
221 : 1, 13, 17, 221
338 : 1, 2, 13, 26, 169, 338
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,221,338,949, is 1.
Now, the common factors can be found like this.
591:3x 197
221:13x 17
338:2x 13x 13
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 13 = 169
Therefore, the value for common factors is 169.
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 = 41895045582/(1x169)
LCM = 41895045582/169
LCM = 247899678
Thus, we can understand that the LCM of 591,221,338,949 is 247899678.
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FAQs on LCM of 591, 221, 338, 949
1. What is the LCM of 591, 221, 338, 949?
Answer: LCM of 591, 221, 338, 949 is 247899678.
2. How to calculate the LCM of 591, 221, 338, 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 591, 221, 338, 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}.