Find the LCM of 781, 819, 962, 349 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 781, 819, 962, 349. So, keep reading to learn more.
Given numbers are 781,819,962,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,819,962,349 is 16519316814.
Find LCM of 781,819,962,349 with Prime Factorization
13 | 781, 819, 962, 349 |
781, 63, 74, 349 |
Multiply the prime numbers at the bottom and the left side.
13 x 781 x 63 x 74 x 349 = 16519316814
Therefore, the lowest common multiple of 781,819,962,349 is 16519316814.
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.
781 x 819 x 962 x 349 = 214751118582
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.
781 : 1, 11, 71, 781
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
962 : 1, 2, 13, 26, 37, 74, 481, 962
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,819,962,349, is 1.
Now, the common factors can be found like this.
781:11x 71
819:3x 3x 7x 13
962:2x 13x 37
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 214751118582/(1x13)
LCM = 214751118582/13
LCM = 16519316814
Thus, we can understand that the LCM of 781,819,962,349 is 16519316814.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 819, 962, 349?
Answer: LCM of 781, 819, 962, 349 is 16519316814.
2. How to calculate the LCM of 781, 819, 962, 349?
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 781, 819, 962, 349.
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}.