Find the LCM of 781, 351, 731, 352 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, 351, 731, 352. So, keep reading to learn more.
Given numbers are 781,351,731,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,351,731,352 is 6412472352.
Find LCM of 781,351,731,352 with Prime Factorization
11 | 781, 351, 731, 352 |
71, 351, 731, 32 |
Multiply the prime numbers at the bottom and the left side.
11 x 71 x 351 x 731 x 32 = 6412472352
Therefore, the lowest common multiple of 781,351,731,352 is 6412472352.
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 351 x 731 x 352 = 70537195872
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
351 : 1, 3, 9, 13, 27, 39, 117, 351
731 : 1, 17, 43, 731
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,351,731,352, is 1.
Now, the common factors can be found like this.
781:11x 71
351:3x 3x 3x 13
731:17x 43
352:2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 70537195872/(1x11)
LCM = 70537195872/11
LCM = 6412472352
Thus, we can understand that the LCM of 781,351,731,352 is 6412472352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 351, 731, 352?
Answer: LCM of 781, 351, 731, 352 is 6412472352.
2. How to calculate the LCM of 781, 351, 731, 352?
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, 351, 731, 352.
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}.