Find the LCM of 198, 806, 942, 780, 884 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, 806, 942, 780, 884. So, keep reading to learn more.
Given numbers are 198,806,942,780,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,806,942,780,884 is 2129701860.
Find LCM of 198,806,942,780,884 with Prime Factorization
2 | 198, 806, 942, 780, 884 |
2 | 99, 403, 471, 390, 442 |
3 | 99, 403, 471, 195, 221 |
13 | 33, 403, 157, 65, 221 |
33, 31, 157, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 33 x 31 x 157 x 5 x 17 = 2129701860
Therefore, the lowest common multiple of 198,806,942,780,884 is 2129701860.
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 806 x 942 x 780 x 884 = 103656848929920
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
942 : 1, 2, 3, 6, 157, 314, 471, 942
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,806,942,780,884, is 2.
Now, the common factors can be found like this.
198:2x 3x 3x 11
806:2x 13x 31
942:2x 3x 157
780:2x 2x 3x 5x 13
884:2x 2x 13x 17
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 2x 2x 3x 3x 13x 13 = 24336
Therefore, the value for common factors is 24336.
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 = 103656848929920/(2x24336)
LCM = 103656848929920/48672
LCM = 2129701860
Thus, we can understand that the LCM of 198,806,942,780,884 is 2129701860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 806, 942, 780, 884?
Answer: LCM of 198, 806, 942, 780, 884 is 2129701860.
2. How to calculate the LCM of 198, 806, 942, 780, 884?
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, 806, 942, 780, 884.
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}.