LCM of 253, 363, 666, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 363, 666, 204 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 253, 363, 666, 204. So, keep reading to learn more.
Given numbers are 253,363,666,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,363,666,204 is 63018252.
Find LCM of 253,363,666,204 with Prime Factorization
| 2 | 253, 363, 666, 204 |
| 3 | 253, 363, 333, 102 |
| 11 | 253, 121, 111, 34 |
| 23, 11, 111, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 11 x 111 x 34 = 63018252
Therefore, the lowest common multiple of 253,363,666,204 is 63018252.
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.
253 x 363 x 666 x 204 = 12477613896
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.
253 : 1, 11, 23, 253
363 : 1, 3, 11, 33, 121, 363
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,363,666,204, is 1.
Now, the common factors can be found like this.
253:11x 23
363:3x 11x 11
666:2x 3x 3x 37
204:2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 12477613896/(1x198)
LCM = 12477613896/198
LCM = 63018252
Thus, we can understand that the LCM of 253,363,666,204 is 63018252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 363, 666, 204
1. What is the LCM of 253, 363, 666, 204?
Answer: LCM of 253, 363, 666, 204 is 63018252.
2. How to calculate the LCM of 253, 363, 666, 204?
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 253, 363, 666, 204.
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}.