Find the LCM of 234, 418, 364, 842, 562 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 234, 418, 364, 842, 562. So, keep reading to learn more.
Given numbers are 234,418,364,842,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,418,364,842,562 is 80998801884.
Find LCM of 234,418,364,842,562 with Prime Factorization
2 | 234, 418, 364, 842, 562 |
13 | 117, 209, 182, 421, 281 |
9, 209, 14, 421, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 9 x 209 x 14 x 421 x 281 = 80998801884
Therefore, the lowest common multiple of 234,418,364,842,562 is 80998801884.
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.
234 x 418 x 364 x 842 x 562 = 16847750791872
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
418 : 1, 2, 11, 19, 22, 38, 209, 418
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
842 : 1, 2, 421, 842
562 : 1, 2, 281, 562
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,418,364,842,562, is 2.
Now, the common factors can be found like this.
234:2x 3x 3x 13
418:2x 11x 19
364:2x 2x 7x 13
842:2x 421
562:2x 281
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 13 = 104
Therefore, the value for common factors is 104.
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 = 16847750791872/(2x104)
LCM = 16847750791872/208
LCM = 80998801884
Thus, we can understand that the LCM of 234,418,364,842,562 is 80998801884.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 234, 418, 364, 842, 562?
Answer: LCM of 234, 418, 364, 842, 562 is 80998801884.
2. How to calculate the LCM of 234, 418, 364, 842, 562?
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 234, 418, 364, 842, 562.
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}.