LCM of 253, 756, 221, 270, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 756, 221, 270, 187 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, 756, 221, 270, 187. So, keep reading to learn more.
Given numbers are 253,756,221,270,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,756,221,270,187 is 211351140.
Find LCM of 253,756,221,270,187 with Prime Factorization
| 2 | 253, 756, 221, 270, 187 |
| 3 | 253, 378, 221, 135, 187 |
| 3 | 253, 126, 221, 45, 187 |
| 3 | 253, 42, 221, 15, 187 |
| 11 | 253, 14, 221, 5, 187 |
| 17 | 23, 14, 221, 5, 17 |
| 23, 14, 13, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 17 x 23 x 14 x 13 x 5 x 1 = 211351140
Therefore, the lowest common multiple of 253,756,221,270,187 is 211351140.
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 756 x 221 x 270 x 187 = 2134223811720
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
221 : 1, 13, 17, 221
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,756,221,270,187, is 1.
Now, the common factors can be found like this.
253:11x 23
756:2x 2x 3x 3x 3x 7
221:13x 17
270:2x 3x 3x 3x 5
187:11x 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 3x 11x 17 = 10098
Therefore, the value for common factors is 10098.
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 = 2134223811720/(1x10098)
LCM = 2134223811720/10098
LCM = 211351140
Thus, we can understand that the LCM of 253,756,221,270,187 is 211351140.
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FAQs on LCM of 253, 756, 221, 270, 187
1. What is the LCM of 253, 756, 221, 270, 187?
Answer: LCM of 253, 756, 221, 270, 187 is 211351140.
2. How to calculate the LCM of 253, 756, 221, 270, 187?
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, 756, 221, 270, 187.
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}.