LCM of 361, 466, 312, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 466, 312, 932 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 361, 466, 312, 932. So, keep reading to learn more.
Given numbers are 361,466,312,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,466,312,932 is 26243256.
Find LCM of 361,466,312,932 with Prime Factorization
| 2 | 361, 466, 312, 932 |
| 2 | 361, 233, 156, 466 |
| 233 | 361, 233, 78, 233 |
| 361, 1, 78, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 233 x 361 x 1 x 78 x 1 = 26243256
Therefore, the lowest common multiple of 361,466,312,932 is 26243256.
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.
361 x 466 x 312 x 932 = 48917429184
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.
361 : 1, 19, 361
466 : 1, 2, 233, 466
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,466,312,932, is 1.
Now, the common factors can be found like this.
361:19x 19
466:2x 233
312:2x 2x 2x 3x 13
932:2x 2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 233 = 1864
Therefore, the value for common factors is 1864.
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 = 48917429184/(1x1864)
LCM = 48917429184/1864
LCM = 26243256
Thus, we can understand that the LCM of 361,466,312,932 is 26243256.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 361, 466, 312, 932
1. What is the LCM of 361, 466, 312, 932?
Answer: LCM of 361, 466, 312, 932 is 26243256.
2. How to calculate the LCM of 361, 466, 312, 932?
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 361, 466, 312, 932.
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}.