Find the LCM of 459, 274, 274, 262 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 459, 274, 274, 262. So, keep reading to learn more.
Given numbers are 459,274,274,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,274,274,262 is 16475346.
Find LCM of 459,274,274,262 with Prime Factorization
2 | 459, 274, 274, 262 |
137 | 459, 137, 137, 131 |
459, 1, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 459 x 1 x 1 x 131 = 16475346
Therefore, the lowest common multiple of 459,274,274,262 is 16475346.
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.
459 x 274 x 274 x 262 = 9028489608
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
274 : 1, 2, 137, 274
274 : 1, 2, 137, 274
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,274,274,262, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
274:2x 137
274:2x 137
262:2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 137 = 548
Therefore, the value for common factors is 548.
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 = 9028489608/(1x548)
LCM = 9028489608/548
LCM = 16475346
Thus, we can understand that the LCM of 459,274,274,262 is 16475346.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 274, 274, 262?
Answer: LCM of 459, 274, 274, 262 is 16475346.
2. How to calculate the LCM of 459, 274, 274, 262?
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 459, 274, 274, 262.
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}.