LCM of 253, 360, 382, 204, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 360, 382, 204, 228 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, 360, 382, 204, 228. So, keep reading to learn more.
Given numbers are 253,360,382,204,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,360,382,204,228 is 5618998440.
Find LCM of 253,360,382,204,228 with Prime Factorization
| 2 | 253, 360, 382, 204, 228 |
| 2 | 253, 180, 191, 102, 114 |
| 3 | 253, 90, 191, 51, 57 |
| 253, 30, 191, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 253 x 30 x 191 x 17 x 19 = 5618998440
Therefore, the lowest common multiple of 253,360,382,204,228 is 5618998440.
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 360 x 382 x 204 x 228 = 1618271550720
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
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
382 : 1, 2, 191, 382
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,360,382,204,228, is 1.
Now, the common factors can be found like this.
253:11x 23
360:2x 2x 2x 3x 3x 5
382:2x 191
204:2x 2x 3x 17
228:2x 2x 3x 19
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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 1618271550720/(1x288)
LCM = 1618271550720/288
LCM = 5618998440
Thus, we can understand that the LCM of 253,360,382,204,228 is 5618998440.
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FAQs on LCM of 253, 360, 382, 204, 228
1. What is the LCM of 253, 360, 382, 204, 228?
Answer: LCM of 253, 360, 382, 204, 228 is 5618998440.
2. How to calculate the LCM of 253, 360, 382, 204, 228?
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, 360, 382, 204, 228.
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}.