LCM of 197, 537, 720, 255, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 537, 720, 255, 854 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 197, 537, 720, 255, 854. So, keep reading to learn more.
Given numbers are 197,537,720,255,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,537,720,255,854 is 184301364240.
Find LCM of 197,537,720,255,854 with Prime Factorization
| 2 | 197, 537, 720, 255, 854 |
| 3 | 197, 537, 360, 255, 427 |
| 5 | 197, 179, 120, 85, 427 |
| 197, 179, 24, 17, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 197 x 179 x 24 x 17 x 427 = 184301364240
Therefore, the lowest common multiple of 197,537,720,255,854 is 184301364240.
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.
197 x 537 x 720 x 255 x 854 = 16587122781600
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.
197 : 1, 197
537 : 1, 3, 179, 537
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
255 : 1, 3, 5, 15, 17, 51, 85, 255
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,537,720,255,854, is 1.
Now, the common factors can be found like this.
197:197
537:3x 179
720:2x 2x 2x 2x 3x 3x 5
255:3x 5x 17
854:2x 7x 61
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 5 = 90
Therefore, the value for common factors is 90.
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 = 16587122781600/(1x90)
LCM = 16587122781600/90
LCM = 184301364240
Thus, we can understand that the LCM of 197,537,720,255,854 is 184301364240.
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FAQs on LCM of 197, 537, 720, 255, 854
1. What is the LCM of 197, 537, 720, 255, 854?
Answer: LCM of 197, 537, 720, 255, 854 is 184301364240.
2. How to calculate the LCM of 197, 537, 720, 255, 854?
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 197, 537, 720, 255, 854.
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}.