Find the LCM of 858, 343, 901, 258, 526 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, 343, 901, 258, 526. So, keep reading to learn more.
Given numbers are 858,343,901,258,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,343,901,258,526 is 2998681932246.
Find LCM of 858,343,901,258,526 with Prime Factorization
2 | 858, 343, 901, 258, 526 |
3 | 429, 343, 901, 129, 263 |
143, 343, 901, 43, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 343 x 901 x 43 x 263 = 2998681932246
Therefore, the lowest common multiple of 858,343,901,258,526 is 2998681932246.
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 343 x 901 x 258 x 526 = 35984183186952
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
343 : 1, 7, 49, 343
901 : 1, 17, 53, 901
258 : 1, 2, 3, 6, 43, 86, 129, 258
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,343,901,258,526, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
343:7x 7x 7
901:17x 53
258:2x 3x 43
526:2x 263
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 3 = 12
Therefore, the value for common factors is 12.
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 = 35984183186952/(1x12)
LCM = 35984183186952/12
LCM = 2998681932246
Thus, we can understand that the LCM of 858,343,901,258,526 is 2998681932246.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 343, 901, 258, 526?
Answer: LCM of 858, 343, 901, 258, 526 is 2998681932246.
2. How to calculate the LCM of 858, 343, 901, 258, 526?
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, 343, 901, 258, 526.
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}.