Find the LCM of 382, 459, 218, 113, 624 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, 459, 218, 113, 624. So, keep reading to learn more.
Given numbers are 382,459,218,113,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,459,218,113,624 is 224602367184.
Find LCM of 382,459,218,113,624 with Prime Factorization
2 | 382, 459, 218, 113, 624 |
3 | 191, 459, 109, 113, 312 |
191, 153, 109, 113, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 153 x 109 x 113 x 104 = 224602367184
Therefore, the lowest common multiple of 382,459,218,113,624 is 224602367184.
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 459 x 218 x 113 x 624 = 2695228406208
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
459 : 1, 3, 9, 17, 27, 51, 153, 459
218 : 1, 2, 109, 218
113 : 1, 113
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,459,218,113,624, is 1.
Now, the common factors can be found like this.
382:2x 191
459:3x 3x 3x 17
218:2x 109
113:113
624:2x 2x 2x 2x 3x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 2695228406208/(1x12)
LCM = 2695228406208/12
LCM = 224602367184
Thus, we can understand that the LCM of 382,459,218,113,624 is 224602367184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 459, 218, 113, 624?
Answer: LCM of 382, 459, 218, 113, 624 is 224602367184.
2. How to calculate the LCM of 382, 459, 218, 113, 624?
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, 459, 218, 113, 624.
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}.