Find the LCM of 127, 858, 527, 266, 323 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 127, 858, 527, 266, 323. So, keep reading to learn more.
Given numbers are 127,858,527,266,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,858,527,266,323 is 7637535906.
Find LCM of 127,858,527,266,323 with Prime Factorization
2 | 127, 858, 527, 266, 323 |
17 | 127, 429, 527, 133, 323 |
19 | 127, 429, 31, 133, 19 |
127, 429, 31, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 127 x 429 x 31 x 7 x 1 = 7637535906
Therefore, the lowest common multiple of 127,858,527,266,323 is 7637535906.
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.
127 x 858 x 527 x 266 x 323 = 4933848195276
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.
127 : 1, 127
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
527 : 1, 17, 31, 527
266 : 1, 2, 7, 14, 19, 38, 133, 266
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,858,527,266,323, is 1.
Now, the common factors can be found like this.
127:127
858:2x 3x 11x 13
527:17x 31
266:2x 7x 19
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 19 = 646
Therefore, the value for common factors is 646.
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 = 4933848195276/(1x646)
LCM = 4933848195276/646
LCM = 7637535906
Thus, we can understand that the LCM of 127,858,527,266,323 is 7637535906.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 127, 858, 527, 266, 323?
Answer: LCM of 127, 858, 527, 266, 323 is 7637535906.
2. How to calculate the LCM of 127, 858, 527, 266, 323?
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 127, 858, 527, 266, 323.
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}.