Find the LCM of 222, 842, 880, 634 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 222, 842, 880, 634. So, keep reading to learn more.
Given numbers are 222,842,880,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,842,880,634 is 13036079760.
Find LCM of 222,842,880,634 with Prime Factorization
2 | 222, 842, 880, 634 |
111, 421, 440, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 111 x 421 x 440 x 317 = 13036079760
Therefore, the lowest common multiple of 222,842,880,634 is 13036079760.
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.
222 x 842 x 880 x 634 = 104288638080
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
842 : 1, 2, 421, 842
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
634 : 1, 2, 317, 634
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,842,880,634, is 2.
Now, the common factors can be found like this.
222:2x 3x 37
842:2x 421
880:2x 2x 2x 2x 5x 11
634:2x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 104288638080/(2x4)
LCM = 104288638080/8
LCM = 13036079760
Thus, we can understand that the LCM of 222,842,880,634 is 13036079760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 222, 842, 880, 634?
Answer: LCM of 222, 842, 880, 634 is 13036079760.
2. How to calculate the LCM of 222, 842, 880, 634?
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 222, 842, 880, 634.
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}.