LCM of 319, 814, 814, 352, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 814, 814, 352, 611 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, 814, 814, 352, 611. So, keep reading to learn more.
Given numbers are 319,814,814,352,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,814,814,352,611 is 230772256.
Find LCM of 319,814,814,352,611 with Prime Factorization
| 2 | 319, 814, 814, 352, 611 |
| 11 | 319, 407, 407, 176, 611 |
| 37 | 29, 37, 37, 16, 611 |
| 29, 1, 1, 16, 611 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 29 x 1 x 1 x 16 x 611 = 230772256
Therefore, the lowest common multiple of 319,814,814,352,611 is 230772256.
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 814 x 814 x 352 x 611 = 45459365164928
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
814 : 1, 2, 11, 22, 37, 74, 407, 814
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,814,814,352,611, is 1.
Now, the common factors can be found like this.
319:11x 29
814:2x 11x 37
814:2x 11x 37
352:2x 2x 2x 2x 2x 11
611:13x 47
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 11x 11x 11x 37 = 196988
Therefore, the value for common factors is 196988.
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 = 45459365164928/(1x196988)
LCM = 45459365164928/196988
LCM = 230772256
Thus, we can understand that the LCM of 319,814,814,352,611 is 230772256.
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, 814, 814, 352, 611
1. What is the LCM of 319, 814, 814, 352, 611?
Answer: LCM of 319, 814, 814, 352, 611 is 230772256.
2. How to calculate the LCM of 319, 814, 814, 352, 611?
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, 814, 814, 352, 611.
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}.