Find the LCM of 858, 932, 289, 982, 712 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, 932, 289, 982, 712. So, keep reading to learn more.
Given numbers are 858,932,289,982,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,932,289,982,712 is 10098864420216.
Find LCM of 858,932,289,982,712 with Prime Factorization
2 | 858, 932, 289, 982, 712 |
2 | 429, 466, 289, 491, 356 |
429, 233, 289, 491, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 429 x 233 x 289 x 491 x 178 = 10098864420216
Therefore, the lowest common multiple of 858,932,289,982,712 is 10098864420216.
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 932 x 289 x 982 x 712 = 161581830723456
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
932 : 1, 2, 4, 233, 466, 932
289 : 1, 17, 289
982 : 1, 2, 491, 982
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,932,289,982,712, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
932:2x 2x 233
289:17x 17
982:2x 491
712:2x 2x 2x 89
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 2 = 16
Therefore, the value for common factors is 16.
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 = 161581830723456/(1x16)
LCM = 161581830723456/16
LCM = 10098864420216
Thus, we can understand that the LCM of 858,932,289,982,712 is 10098864420216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 932, 289, 982, 712?
Answer: LCM of 858, 932, 289, 982, 712 is 10098864420216.
2. How to calculate the LCM of 858, 932, 289, 982, 712?
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, 932, 289, 982, 712.
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}.