Find the LCM of 577, 447, 667, 298 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 577, 447, 667, 298. So, keep reading to learn more.
Given numbers are 577,447,667,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,447,667,298 is 344063946.
Find LCM of 577,447,667,298 with Prime Factorization
149 | 577, 447, 667, 298 |
577, 3, 667, 2 |
Multiply the prime numbers at the bottom and the left side.
149 x 577 x 3 x 667 x 2 = 344063946
Therefore, the lowest common multiple of 577,447,667,298 is 344063946.
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.
577 x 447 x 667 x 298 = 51265527954
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.
577 : 1, 577
447 : 1, 3, 149, 447
667 : 1, 23, 29, 667
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,447,667,298, is 1.
Now, the common factors can be found like this.
577:577
447:3x 149
667:23x 29
298:2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 51265527954/(1x149)
LCM = 51265527954/149
LCM = 344063946
Thus, we can understand that the LCM of 577,447,667,298 is 344063946.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 447, 667, 298?
Answer: LCM of 577, 447, 667, 298 is 344063946.
2. How to calculate the LCM of 577, 447, 667, 298?
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 577, 447, 667, 298.
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}.