Find the LCM of 289, 731, 692, 451 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 289, 731, 692, 451. So, keep reading to learn more.
Given numbers are 289,731,692,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,731,692,451 is 3878367284.
Find LCM of 289,731,692,451 with Prime Factorization
17 | 289, 731, 692, 451 |
17, 43, 692, 451 |
Multiply the prime numbers at the bottom and the left side.
17 x 17 x 43 x 692 x 451 = 3878367284
Therefore, the lowest common multiple of 289,731,692,451 is 3878367284.
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.
289 x 731 x 692 x 451 = 65932243828
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.
289 : 1, 17, 289
731 : 1, 17, 43, 731
692 : 1, 2, 4, 173, 346, 692
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,731,692,451, is 1.
Now, the common factors can be found like this.
289:17x 17
731:17x 43
692:2x 2x 173
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 65932243828/(1x17)
LCM = 65932243828/17
LCM = 3878367284
Thus, we can understand that the LCM of 289,731,692,451 is 3878367284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 731, 692, 451?
Answer: LCM of 289, 731, 692, 451 is 3878367284.
2. How to calculate the LCM of 289, 731, 692, 451?
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 289, 731, 692, 451.
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}.