Find the LCM of 940, 533, 659, 998, 344 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 940, 533, 659, 998, 344. So, keep reading to learn more.
Given numbers are 940,533,659,998,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,533,659,998,344 is 14169008932520.
Find LCM of 940,533,659,998,344 with Prime Factorization
2 | 940, 533, 659, 998, 344 |
2 | 470, 533, 659, 499, 172 |
235, 533, 659, 499, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 235 x 533 x 659 x 499 x 86 = 14169008932520
Therefore, the lowest common multiple of 940,533,659,998,344 is 14169008932520.
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.
940 x 533 x 659 x 998 x 344 = 113352071460160
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
533 : 1, 13, 41, 533
659 : 1, 659
998 : 1, 2, 499, 998
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,533,659,998,344, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
533:13x 41
659:659
998:2x 499
344:2x 2x 2x 43
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 2 = 8
Therefore, the value for common factors is 8.
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 = 113352071460160/(1x8)
LCM = 113352071460160/8
LCM = 14169008932520
Thus, we can understand that the LCM of 940,533,659,998,344 is 14169008932520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 940, 533, 659, 998, 344?
Answer: LCM of 940, 533, 659, 998, 344 is 14169008932520.
2. How to calculate the LCM of 940, 533, 659, 998, 344?
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 940, 533, 659, 998, 344.
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}.