Find the LCM of 731, 969, 772, 414 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 731, 969, 772, 414. So, keep reading to learn more.
Given numbers are 731,969,772,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,969,772,414 is 2219517756.
Find LCM of 731,969,772,414 with Prime Factorization
2 | 731, 969, 772, 414 |
3 | 731, 969, 386, 207 |
17 | 731, 323, 386, 69 |
43, 19, 386, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 43 x 19 x 386 x 69 = 2219517756
Therefore, the lowest common multiple of 731,969,772,414 is 2219517756.
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.
731 x 969 x 772 x 414 = 226390811112
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.
731 : 1, 17, 43, 731
969 : 1, 3, 17, 19, 51, 57, 323, 969
772 : 1, 2, 4, 193, 386, 772
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,969,772,414, is 1.
Now, the common factors can be found like this.
731:17x 43
969:3x 17x 19
772:2x 2x 193
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 226390811112/(1x102)
LCM = 226390811112/102
LCM = 2219517756
Thus, we can understand that the LCM of 731,969,772,414 is 2219517756.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 969, 772, 414?
Answer: LCM of 731, 969, 772, 414 is 2219517756.
2. How to calculate the LCM of 731, 969, 772, 414?
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 731, 969, 772, 414.
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}.