Find the LCM of 983, 676, 494, 805, 198 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 983, 676, 494, 805, 198. So, keep reading to learn more.
Given numbers are 983,676,494,805,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,676,494,805,198 is 1006201336140.
Find LCM of 983,676,494,805,198 with Prime Factorization
2 | 983, 676, 494, 805, 198 |
13 | 983, 338, 247, 805, 99 |
983, 26, 19, 805, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 983 x 26 x 19 x 805 x 99 = 1006201336140
Therefore, the lowest common multiple of 983,676,494,805,198 is 1006201336140.
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.
983 x 676 x 494 x 805 x 198 = 52322469479280
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.
983 : 1, 983
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
494 : 1, 2, 13, 19, 26, 38, 247, 494
805 : 1, 5, 7, 23, 35, 115, 161, 805
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,676,494,805,198, is 1.
Now, the common factors can be found like this.
983:983
676:2x 2x 13x 13
494:2x 13x 19
805:5x 7x 23
198:2x 3x 3x 11
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 13 = 52
Therefore, the value for common factors is 52.
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 = 52322469479280/(1x52)
LCM = 52322469479280/52
LCM = 1006201336140
Thus, we can understand that the LCM of 983,676,494,805,198 is 1006201336140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 983, 676, 494, 805, 198?
Answer: LCM of 983, 676, 494, 805, 198 is 1006201336140.
2. How to calculate the LCM of 983, 676, 494, 805, 198?
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 983, 676, 494, 805, 198.
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}.