Find the LCM of 299, 319, 319, 457, 113 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 299, 319, 319, 457, 113. So, keep reading to learn more.
Given numbers are 299,319,319,457,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,319,319,457,113 is 4925570221.
Find LCM of 299,319,319,457,113 with Prime Factorization
11 | 299, 319, 319, 457, 113 |
29 | 299, 29, 29, 457, 113 |
299, 1, 1, 457, 113 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 299 x 1 x 1 x 457 x 113 = 4925570221
Therefore, the lowest common multiple of 299,319,319,457,113 is 4925570221.
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.
299 x 319 x 319 x 457 x 113 = 1571256900499
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.
299 : 1, 13, 23, 299
319 : 1, 11, 29, 319
319 : 1, 11, 29, 319
457 : 1, 457
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,319,319,457,113, is 1.
Now, the common factors can be found like this.
299:13x 23
319:11x 29
319:11x 29
457:457
113:113
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 = 1571256900499/(1x319)
LCM = 1571256900499/319
LCM = 4925570221
Thus, we can understand that the LCM of 299,319,319,457,113 is 4925570221.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 319, 319, 457, 113?
Answer: LCM of 299, 319, 319, 457, 113 is 4925570221.
2. How to calculate the LCM of 299, 319, 319, 457, 113?
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 299, 319, 319, 457, 113.
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}.