Find the LCM of 382, 447, 649, 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 382, 447, 649, 298. So, keep reading to learn more.
Given numbers are 382,447,649,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,447,649,298 is 110819346.
Find LCM of 382,447,649,298 with Prime Factorization
2 | 382, 447, 649, 298 |
149 | 191, 447, 649, 149 |
191, 3, 649, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 191 x 3 x 649 x 1 = 110819346
Therefore, the lowest common multiple of 382,447,649,298 is 110819346.
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.
382 x 447 x 649 x 298 = 33024165108
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.
382 : 1, 2, 191, 382
447 : 1, 3, 149, 447
649 : 1, 11, 59, 649
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,447,649,298, is 1.
Now, the common factors can be found like this.
382:2x 191
447:3x 149
649:11x 59
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.
2x 149 = 298
Therefore, the value for common factors is 298.
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 = 33024165108/(1x298)
LCM = 33024165108/298
LCM = 110819346
Thus, we can understand that the LCM of 382,447,649,298 is 110819346.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 447, 649, 298?
Answer: LCM of 382, 447, 649, 298 is 110819346.
2. How to calculate the LCM of 382, 447, 649, 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 382, 447, 649, 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}.