LCM of 268, 537, 231, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 537, 231, 176 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 268, 537, 231, 176. So, keep reading to learn more.
Given numbers are 268,537,231,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,537,231,176 is 44326128.
Find LCM of 268,537,231,176 with Prime Factorization
| 2 | 268, 537, 231, 176 |
| 2 | 134, 537, 231, 88 |
| 3 | 67, 537, 231, 44 |
| 11 | 67, 179, 77, 44 |
| 67, 179, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 179 x 7 x 4 = 44326128
Therefore, the lowest common multiple of 268,537,231,176 is 44326128.
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.
268 x 537 x 231 x 176 = 5851048896
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.
268 : 1, 2, 4, 67, 134, 268
537 : 1, 3, 179, 537
231 : 1, 3, 7, 11, 21, 33, 77, 231
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,537,231,176, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
537:3x 179
231:3x 7x 11
176:2x 2x 2x 2x 11
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 5851048896/(1x132)
LCM = 5851048896/132
LCM = 44326128
Thus, we can understand that the LCM of 268,537,231,176 is 44326128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 268, 537, 231, 176
1. What is the LCM of 268, 537, 231, 176?
Answer: LCM of 268, 537, 231, 176 is 44326128.
2. How to calculate the LCM of 268, 537, 231, 176?
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 268, 537, 231, 176.
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}.