Find the LCM of 993, 533, 681, 873, 988 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 993, 533, 681, 873, 988. So, keep reading to learn more.
Given numbers are 993,533,681,873,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,533,681,873,988 is 2657106097308.
Find LCM of 993,533,681,873,988 with Prime Factorization
3 | 993, 533, 681, 873, 988 |
13 | 331, 533, 227, 291, 988 |
331, 41, 227, 291, 76 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 331 x 41 x 227 x 291 x 76 = 2657106097308
Therefore, the lowest common multiple of 993,533,681,873,988 is 2657106097308.
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.
993 x 533 x 681 x 873 x 988 = 310881413385036
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.
993 : 1, 3, 331, 993
533 : 1, 13, 41, 533
681 : 1, 3, 227, 681
873 : 1, 3, 9, 97, 291, 873
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,533,681,873,988, is 1.
Now, the common factors can be found like this.
993:3x 331
533:13x 41
681:3x 227
873:3x 3x 97
988:2x 2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 310881413385036/(1x117)
LCM = 310881413385036/117
LCM = 2657106097308
Thus, we can understand that the LCM of 993,533,681,873,988 is 2657106097308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 533, 681, 873, 988?
Answer: LCM of 993, 533, 681, 873, 988 is 2657106097308.
2. How to calculate the LCM of 993, 533, 681, 873, 988?
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 993, 533, 681, 873, 988.
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}.