LCM of 319, 743, 330, 676, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 743, 330, 676, 505 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 319, 743, 330, 676, 505. So, keep reading to learn more.
Given numbers are 319,743,330,676,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,743,330,676,505 is 242738590380.
Find LCM of 319,743,330,676,505 with Prime Factorization
| 2 | 319, 743, 330, 676, 505 |
| 5 | 319, 743, 165, 338, 505 |
| 11 | 319, 743, 33, 338, 101 |
| 29, 743, 3, 338, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 29 x 743 x 3 x 338 x 101 = 242738590380
Therefore, the lowest common multiple of 319,743,330,676,505 is 242738590380.
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.
319 x 743 x 330 x 676 x 505 = 26701244941800
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.
319 : 1, 11, 29, 319
743 : 1, 743
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,743,330,676,505, is 1.
Now, the common factors can be found like this.
319:11x 29
743:743
330:2x 3x 5x 11
676:2x 2x 13x 13
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 26701244941800/(1x110)
LCM = 26701244941800/110
LCM = 242738590380
Thus, we can understand that the LCM of 319,743,330,676,505 is 242738590380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 319, 743, 330, 676, 505
1. What is the LCM of 319, 743, 330, 676, 505?
Answer: LCM of 319, 743, 330, 676, 505 is 242738590380.
2. How to calculate the LCM of 319, 743, 330, 676, 505?
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 319, 743, 330, 676, 505.
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}.