Find the LCM of 266, 197, 516, 273, 282 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 266, 197, 516, 273, 282. So, keep reading to learn more.
Given numbers are 266,197,516,273,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,197,516,273,282 is 8260546476.
Find LCM of 266,197,516,273,282 with Prime Factorization
2 | 266, 197, 516, 273, 282 |
3 | 133, 197, 258, 273, 141 |
7 | 133, 197, 86, 91, 47 |
19, 197, 86, 13, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 197 x 86 x 13 x 47 = 8260546476
Therefore, the lowest common multiple of 266,197,516,273,282 is 8260546476.
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.
266 x 197 x 516 x 273 x 282 = 2081657711952
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
197 : 1, 197
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
273 : 1, 3, 7, 13, 21, 39, 91, 273
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,197,516,273,282, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
197:197
516:2x 2x 3x 43
273:3x 7x 13
282:2x 3x 47
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 2081657711952/(1x252)
LCM = 2081657711952/252
LCM = 8260546476
Thus, we can understand that the LCM of 266,197,516,273,282 is 8260546476.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 266, 197, 516, 273, 282?
Answer: LCM of 266, 197, 516, 273, 282 is 8260546476.
2. How to calculate the LCM of 266, 197, 516, 273, 282?
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 266, 197, 516, 273, 282.
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}.