Find the LCM of 858, 152, 874, 484, 266 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 858, 152, 874, 484, 266. So, keep reading to learn more.
Given numbers are 858,152,874,484,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,152,874,484,266 is 115483368.
Find LCM of 858,152,874,484,266 with Prime Factorization
2 | 858, 152, 874, 484, 266 |
2 | 429, 76, 437, 242, 133 |
11 | 429, 38, 437, 121, 133 |
19 | 39, 38, 437, 11, 133 |
39, 2, 23, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 39 x 2 x 23 x 11 x 7 = 115483368
Therefore, the lowest common multiple of 858,152,874,484,266 is 115483368.
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.
858 x 152 x 874 x 484 x 266 = 14674702538496
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
152 : 1, 2, 4, 8, 19, 38, 76, 152
874 : 1, 2, 19, 23, 38, 46, 437, 874
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
266 : 1, 2, 7, 14, 19, 38, 133, 266
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,152,874,484,266, is 2.
Now, the common factors can be found like this.
858:2x 3x 11x 13
152:2x 2x 2x 19
874:2x 19x 23
484:2x 2x 11x 11
266:2x 7x 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 2x 2x 2x 11x 19x 19 = 63536
Therefore, the value for common factors is 63536.
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 = 14674702538496/(2x63536)
LCM = 14674702538496/127072
LCM = 115483368
Thus, we can understand that the LCM of 858,152,874,484,266 is 115483368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 152, 874, 484, 266?
Answer: LCM of 858, 152, 874, 484, 266 is 115483368.
2. How to calculate the LCM of 858, 152, 874, 484, 266?
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 858, 152, 874, 484, 266.
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}.