Find the LCM of 998, 323, 941, 764, 299 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 998, 323, 941, 764, 299. So, keep reading to learn more.
Given numbers are 998,323,941,764,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,323,941,764,299 is 34646330050852.
Find LCM of 998,323,941,764,299 with Prime Factorization
2 | 998, 323, 941, 764, 299 |
499, 323, 941, 382, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 323 x 941 x 382 x 299 = 34646330050852
Therefore, the lowest common multiple of 998,323,941,764,299 is 34646330050852.
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.
998 x 323 x 941 x 764 x 299 = 69292660101704
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.
998 : 1, 2, 499, 998
323 : 1, 17, 19, 323
941 : 1, 941
764 : 1, 2, 4, 191, 382, 764
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,323,941,764,299, is 1.
Now, the common factors can be found like this.
998:2x 499
323:17x 19
941:941
764:2x 2x 191
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 69292660101704/(1x2)
LCM = 69292660101704/2
LCM = 34646330050852
Thus, we can understand that the LCM of 998,323,941,764,299 is 34646330050852.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 323, 941, 764, 299?
Answer: LCM of 998, 323, 941, 764, 299 is 34646330050852.
2. How to calculate the LCM of 998, 323, 941, 764, 299?
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 998, 323, 941, 764, 299.
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}.