LCM of 826, 911, 460, 447, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 911, 460, 447, 985 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 826, 911, 460, 447, 985. So, keep reading to learn more.
Given numbers are 826,911,460,447,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,911,460,447,985 is 15240527875020.
Find LCM of 826,911,460,447,985 with Prime Factorization
| 2 | 826, 911, 460, 447, 985 |
| 5 | 413, 911, 230, 447, 985 |
| 413, 911, 46, 447, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 413 x 911 x 46 x 447 x 197 = 15240527875020
Therefore, the lowest common multiple of 826,911,460,447,985 is 15240527875020.
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.
826 x 911 x 460 x 447 x 985 = 152405278750200
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
911 : 1, 911
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
447 : 1, 3, 149, 447
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,911,460,447,985, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
911:911
460:2x 2x 5x 23
447:3x 149
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 152405278750200/(1x10)
LCM = 152405278750200/10
LCM = 15240527875020
Thus, we can understand that the LCM of 826,911,460,447,985 is 15240527875020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 826, 911, 460, 447, 985
1. What is the LCM of 826, 911, 460, 447, 985?
Answer: LCM of 826, 911, 460, 447, 985 is 15240527875020.
2. How to calculate the LCM of 826, 911, 460, 447, 985?
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 826, 911, 460, 447, 985.
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}.