LCM of 831, 556, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 556, 466 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 831, 556, 466. So, keep reading to learn more.
Given numbers are 831,556,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,556,466 is 107654388.
Find LCM of 831,556,466 with Prime Factorization
| 2 | 831, 556, 466 |
| 831, 278, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 831 x 278 x 233 = 107654388
Therefore, the lowest common multiple of 831,556,466 is 107654388.
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.
831 x 556 x 466 = 215308776
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.
831 : 1, 3, 277, 831
556 : 1, 2, 4, 139, 278, 556
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,556,466, is 1.
Now, the common factors can be found like this.
831:3x 277
556:2x 2x 139
466:2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 215308776/(1x2)
LCM = 215308776/2
LCM = 107654388
Thus, we can understand that the LCM of 831,556,466 is 107654388.
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FAQs on LCM of 831, 556, 466
1. What is the LCM of 831, 556, 466?
Answer: LCM of 831, 556, 466 is 107654388.
2. How to calculate the LCM of 831, 556, 466?
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 831, 556, 466.
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}.