Find the LCM of 663, 441, 746, 200, 547 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 663, 441, 746, 200, 547. So, keep reading to learn more.
Given numbers are 663,441,746,200,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,441,746,200,547 is 3977013058200.
Find LCM of 663,441,746,200,547 with Prime Factorization
2 | 663, 441, 746, 200, 547 |
3 | 663, 441, 373, 100, 547 |
221, 147, 373, 100, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 221 x 147 x 373 x 100 x 547 = 3977013058200
Therefore, the lowest common multiple of 663,441,746,200,547 is 3977013058200.
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.
663 x 441 x 746 x 200 x 547 = 23862078349200
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
746 : 1, 2, 373, 746
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,441,746,200,547, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
441:3x 3x 7x 7
746:2x 373
200:2x 2x 2x 5x 5
547:547
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 23862078349200/(1x6)
LCM = 23862078349200/6
LCM = 3977013058200
Thus, we can understand that the LCM of 663,441,746,200,547 is 3977013058200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 663, 441, 746, 200, 547?
Answer: LCM of 663, 441, 746, 200, 547 is 3977013058200.
2. How to calculate the LCM of 663, 441, 746, 200, 547?
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 663, 441, 746, 200, 547.
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}.