Find the LCM of 993, 573, 487, 848, 110 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, 573, 487, 848, 110. So, keep reading to learn more.
Given numbers are 993,573,487,848,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,573,487,848,110 is 4307944689840.
Find LCM of 993,573,487,848,110 with Prime Factorization
2 | 993, 573, 487, 848, 110 |
3 | 993, 573, 487, 424, 55 |
331, 191, 487, 424, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 191 x 487 x 424 x 55 = 4307944689840
Therefore, the lowest common multiple of 993,573,487,848,110 is 4307944689840.
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 573 x 487 x 848 x 110 = 25847668139040
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
573 : 1, 3, 191, 573
487 : 1, 487
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,573,487,848,110, is 1.
Now, the common factors can be found like this.
993:3x 331
573:3x 191
487:487
848:2x 2x 2x 2x 53
110:2x 5x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 25847668139040/(1x6)
LCM = 25847668139040/6
LCM = 4307944689840
Thus, we can understand that the LCM of 993,573,487,848,110 is 4307944689840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 573, 487, 848, 110?
Answer: LCM of 993, 573, 487, 848, 110 is 4307944689840.
2. How to calculate the LCM of 993, 573, 487, 848, 110?
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, 573, 487, 848, 110.
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}.