Find the LCM of 998, 209, 548, 830, 889 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, 209, 548, 830, 889. So, keep reading to learn more.
Given numbers are 998,209,548,830,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,209,548,830,889 is 21085176846580.
Find LCM of 998,209,548,830,889 with Prime Factorization
2 | 998, 209, 548, 830, 889 |
499, 209, 274, 415, 889 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 209 x 274 x 415 x 889 = 21085176846580
Therefore, the lowest common multiple of 998,209,548,830,889 is 21085176846580.
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 209 x 548 x 830 x 889 = 84340707386320
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
209 : 1, 11, 19, 209
548 : 1, 2, 4, 137, 274, 548
830 : 1, 2, 5, 10, 83, 166, 415, 830
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,209,548,830,889, is 1.
Now, the common factors can be found like this.
998:2x 499
209:11x 19
548:2x 2x 137
830:2x 5x 83
889:7x 127
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 = 84340707386320/(1x4)
LCM = 84340707386320/4
LCM = 21085176846580
Thus, we can understand that the LCM of 998,209,548,830,889 is 21085176846580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 209, 548, 830, 889?
Answer: LCM of 998, 209, 548, 830, 889 is 21085176846580.
2. How to calculate the LCM of 998, 209, 548, 830, 889?
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, 209, 548, 830, 889.
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}.