Find the LCM of 116, 698, 840, 990, 220 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 116, 698, 840, 990, 220. So, keep reading to learn more.
Given numbers are 116,698,840,990,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,698,840,990,220 is 280554120.
Find LCM of 116,698,840,990,220 with Prime Factorization
2 | 116, 698, 840, 990, 220 |
2 | 58, 349, 420, 495, 110 |
3 | 29, 349, 210, 495, 55 |
5 | 29, 349, 70, 165, 55 |
11 | 29, 349, 14, 33, 11 |
29, 349, 14, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 29 x 349 x 14 x 3 x 1 = 280554120
Therefore, the lowest common multiple of 116,698,840,990,220 is 280554120.
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.
116 x 698 x 840 x 990 x 220 = 14813257536000
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.
116 : 1, 2, 4, 29, 58, 116
698 : 1, 2, 349, 698
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,698,840,990,220, is 2.
Now, the common factors can be found like this.
116:2x 2x 29
698:2x 349
840:2x 2x 2x 3x 5x 7
990:2x 3x 3x 5x 11
220:2x 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 2x 2x 2x 2x 3x 5x 5x 11 = 26400
Therefore, the value for common factors is 26400.
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 = 14813257536000/(2x26400)
LCM = 14813257536000/52800
LCM = 280554120
Thus, we can understand that the LCM of 116,698,840,990,220 is 280554120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 698, 840, 990, 220?
Answer: LCM of 116, 698, 840, 990, 220 is 280554120.
2. How to calculate the LCM of 116, 698, 840, 990, 220?
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 116, 698, 840, 990, 220.
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}.