Find the LCM of 113, 283, 374, 998, 974 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 113, 283, 374, 998, 974. So, keep reading to learn more.
Given numbers are 113,283,374,998,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,283,374,998,974 is 2906470959898.
Find LCM of 113,283,374,998,974 with Prime Factorization
2 | 113, 283, 374, 998, 974 |
113, 283, 187, 499, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 283 x 187 x 499 x 487 = 2906470959898
Therefore, the lowest common multiple of 113,283,374,998,974 is 2906470959898.
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.
113 x 283 x 374 x 998 x 974 = 11625883839592
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.
113 : 1, 113
283 : 1, 283
374 : 1, 2, 11, 17, 22, 34, 187, 374
998 : 1, 2, 499, 998
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,283,374,998,974, is 1.
Now, the common factors can be found like this.
113:113
283:283
374:2x 11x 17
998:2x 499
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 11625883839592/(1x4)
LCM = 11625883839592/4
LCM = 2906470959898
Thus, we can understand that the LCM of 113,283,374,998,974 is 2906470959898.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 283, 374, 998, 974?
Answer: LCM of 113, 283, 374, 998, 974 is 2906470959898.
2. How to calculate the LCM of 113, 283, 374, 998, 974?
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 113, 283, 374, 998, 974.
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}.