Find the LCM of 198, 626, 939, 921, 469 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 198, 626, 939, 921, 469. So, keep reading to learn more.
Given numbers are 198,626,939,921,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,626,939,921,469 is 8923202442.
Find LCM of 198,626,939,921,469 with Prime Factorization
2 | 198, 626, 939, 921, 469 |
3 | 99, 313, 939, 921, 469 |
313 | 33, 313, 313, 307, 469 |
33, 1, 1, 307, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 313 x 33 x 1 x 1 x 307 x 469 = 8923202442
Therefore, the lowest common multiple of 198,626,939,921,469 is 8923202442.
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.
198 x 626 x 939 x 921 x 469 = 50273322558228
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
626 : 1, 2, 313, 626
939 : 1, 3, 313, 939
921 : 1, 3, 307, 921
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,626,939,921,469, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
626:2x 313
939:3x 313
921:3x 307
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 313 = 5634
Therefore, the value for common factors is 5634.
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 = 50273322558228/(1x5634)
LCM = 50273322558228/5634
LCM = 8923202442
Thus, we can understand that the LCM of 198,626,939,921,469 is 8923202442.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 626, 939, 921, 469?
Answer: LCM of 198, 626, 939, 921, 469 is 8923202442.
2. How to calculate the LCM of 198, 626, 939, 921, 469?
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 198, 626, 939, 921, 469.
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}.