LCM of 958, 471, 444, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 471, 444, 313 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, 471, 444, 313. So, keep reading to learn more.
Given numbers are 958,471,444,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,471,444,313 is 10451111316.
Find LCM of 958,471,444,313 with Prime Factorization
| 2 | 958, 471, 444, 313 |
| 3 | 479, 471, 222, 313 |
| 479, 157, 74, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 479 x 157 x 74 x 313 = 10451111316
Therefore, the lowest common multiple of 958,471,444,313 is 10451111316.
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 471 x 444 x 313 = 62706667896
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
471 : 1, 3, 157, 471
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,471,444,313, is 1.
Now, the common factors can be found like this.
958:2x 479
471:3x 157
444:2x 2x 3x 37
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 62706667896/(1x6)
LCM = 62706667896/6
LCM = 10451111316
Thus, we can understand that the LCM of 958,471,444,313 is 10451111316.
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, 471, 444, 313
1. What is the LCM of 958, 471, 444, 313?
Answer: LCM of 958, 471, 444, 313 is 10451111316.
2. How to calculate the LCM of 958, 471, 444, 313?
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, 471, 444, 313.
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}.