LCM of 319, 899, 297, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 899, 297, 197 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, 899, 297, 197. So, keep reading to learn more.
Given numbers are 319,899,297,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,899,297,197 is 52599591.
Find LCM of 319,899,297,197 with Prime Factorization
| 11 | 319, 899, 297, 197 |
| 29 | 29, 899, 27, 197 |
| 1, 31, 27, 197 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 1 x 31 x 27 x 197 = 52599591
Therefore, the lowest common multiple of 319,899,297,197 is 52599591.
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 899 x 297 x 197 = 16779269529
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
899 : 1, 29, 31, 899
297 : 1, 3, 9, 11, 27, 33, 99, 297
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,899,297,197, is 1.
Now, the common factors can be found like this.
319:11x 29
899:29x 31
297:3x 3x 3x 11
197:197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 16779269529/(1x319)
LCM = 16779269529/319
LCM = 52599591
Thus, we can understand that the LCM of 319,899,297,197 is 52599591.
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, 899, 297, 197
1. What is the LCM of 319, 899, 297, 197?
Answer: LCM of 319, 899, 297, 197 is 52599591.
2. How to calculate the LCM of 319, 899, 297, 197?
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, 899, 297, 197.
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}.