Find the LCM of 660, 197, 917, 616, 273 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 660, 197, 917, 616, 273. So, keep reading to learn more.
Given numbers are 660,197,917,616,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,197,917,616,273 is 3099936840.
Find LCM of 660,197,917,616,273 with Prime Factorization
2 | 660, 197, 917, 616, 273 |
2 | 330, 197, 917, 308, 273 |
3 | 165, 197, 917, 154, 273 |
7 | 55, 197, 917, 154, 91 |
11 | 55, 197, 131, 22, 13 |
5, 197, 131, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 5 x 197 x 131 x 2 x 13 = 3099936840
Therefore, the lowest common multiple of 660,197,917,616,273 is 3099936840.
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.
660 x 197 x 917 x 616 x 273 = 20050391481120
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
197 : 1, 197
917 : 1, 7, 131, 917
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,197,917,616,273, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
197:197
917:7x 131
616:2x 2x 2x 7x 11
273:3x 7x 13
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 3x 7x 7x 11 = 6468
Therefore, the value for common factors is 6468.
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 = 20050391481120/(1x6468)
LCM = 20050391481120/6468
LCM = 3099936840
Thus, we can understand that the LCM of 660,197,917,616,273 is 3099936840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 660, 197, 917, 616, 273?
Answer: LCM of 660, 197, 917, 616, 273 is 3099936840.
2. How to calculate the LCM of 660, 197, 917, 616, 273?
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 660, 197, 917, 616, 273.
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}.