Find the LCM of 866, 846, 429, 421 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 866, 846, 429, 421. So, keep reading to learn more.
Given numbers are 866,846,429,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,846,429,421 is 22053442554.
Find LCM of 866,846,429,421 with Prime Factorization
2 | 866, 846, 429, 421 |
3 | 433, 423, 429, 421 |
433, 141, 143, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 433 x 141 x 143 x 421 = 22053442554
Therefore, the lowest common multiple of 866,846,429,421 is 22053442554.
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.
866 x 846 x 429 x 421 = 132320655324
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.
866 : 1, 2, 433, 866
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
429 : 1, 3, 11, 13, 33, 39, 143, 429
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,846,429,421, is 1.
Now, the common factors can be found like this.
866:2x 433
846:2x 3x 3x 47
429:3x 11x 13
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 132320655324/(1x6)
LCM = 132320655324/6
LCM = 22053442554
Thus, we can understand that the LCM of 866,846,429,421 is 22053442554.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 846, 429, 421?
Answer: LCM of 866, 846, 429, 421 is 22053442554.
2. How to calculate the LCM of 866, 846, 429, 421?
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 866, 846, 429, 421.
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}.