LCM of 958, 949, 832, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 949, 832, 221 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 958, 949, 832, 221. So, keep reading to learn more.
Given numbers are 958,949,832,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,949,832,221 is 494573248.
Find LCM of 958,949,832,221 with Prime Factorization
| 2 | 958, 949, 832, 221 |
| 13 | 479, 949, 416, 221 |
| 479, 73, 32, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 479 x 73 x 32 x 17 = 494573248
Therefore, the lowest common multiple of 958,949,832,221 is 494573248.
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.
958 x 949 x 832 x 221 = 167165757824
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.
958 : 1, 2, 479, 958
949 : 1, 13, 73, 949
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,949,832,221, is 1.
Now, the common factors can be found like this.
958:2x 479
949:13x 73
832:2x 2x 2x 2x 2x 2x 13
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 167165757824/(1x338)
LCM = 167165757824/338
LCM = 494573248
Thus, we can understand that the LCM of 958,949,832,221 is 494573248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 958, 949, 832, 221
1. What is the LCM of 958, 949, 832, 221?
Answer: LCM of 958, 949, 832, 221 is 494573248.
2. How to calculate the LCM of 958, 949, 832, 221?
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 958, 949, 832, 221.
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}.