Find the LCM of 944, 559, 545, 387, 749 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 944, 559, 545, 387, 749. So, keep reading to learn more.
Given numbers are 944,559,545,387,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 944,559,545,387,749 is 1938673311120.
Find LCM of 944,559,545,387,749 with Prime Factorization
43 | 944, 559, 545, 387, 749 |
944, 13, 545, 9, 749 |
Multiply the prime numbers at the bottom and the left side.
43 x 944 x 13 x 545 x 9 x 749 = 1938673311120
Therefore, the lowest common multiple of 944,559,545,387,749 is 1938673311120.
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.
944 x 559 x 545 x 387 x 749 = 83362952378160
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.
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
559 : 1, 13, 43, 559
545 : 1, 5, 109, 545
387 : 1, 3, 9, 43, 129, 387
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,559,545,387,749, is 1.
Now, the common factors can be found like this.
944:2x 2x 2x 2x 59
559:13x 43
545:5x 109
387:3x 3x 43
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
43 = 43
Therefore, the value for common factors is 43.
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 = 83362952378160/(1x43)
LCM = 83362952378160/43
LCM = 1938673311120
Thus, we can understand that the LCM of 944,559,545,387,749 is 1938673311120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 944, 559, 545, 387, 749?
Answer: LCM of 944, 559, 545, 387, 749 is 1938673311120.
2. How to calculate the LCM of 944, 559, 545, 387, 749?
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 944, 559, 545, 387, 749.
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}.