LCM of 318, 105, 460, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 105, 460, 813 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 318, 105, 460, 813. So, keep reading to learn more.
Given numbers are 318,105,460,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,105,460,813 is 138746580.
Find LCM of 318,105,460,813 with Prime Factorization
| 2 | 318, 105, 460, 813 |
| 3 | 159, 105, 230, 813 |
| 5 | 53, 35, 230, 271 |
| 53, 7, 46, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 7 x 46 x 271 = 138746580
Therefore, the lowest common multiple of 318,105,460,813 is 138746580.
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.
318 x 105 x 460 x 813 = 12487192200
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
105 : 1, 3, 5, 7, 15, 21, 35, 105
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,105,460,813, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
105:3x 5x 7
460:2x 2x 5x 23
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 12487192200/(1x90)
LCM = 12487192200/90
LCM = 138746580
Thus, we can understand that the LCM of 318,105,460,813 is 138746580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 318, 105, 460, 813
1. What is the LCM of 318, 105, 460, 813?
Answer: LCM of 318, 105, 460, 813 is 138746580.
2. How to calculate the LCM of 318, 105, 460, 813?
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 318, 105, 460, 813.
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}.