LCM of 269, 304, 943, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 304, 943, 328 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 269, 304, 943, 328. So, keep reading to learn more.
Given numbers are 269,304,943,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,304,943,328 is 77114768.
Find LCM of 269,304,943,328 with Prime Factorization
| 2 | 269, 304, 943, 328 |
| 2 | 269, 152, 943, 164 |
| 2 | 269, 76, 943, 82 |
| 41 | 269, 38, 943, 41 |
| 269, 38, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 269 x 38 x 23 x 1 = 77114768
Therefore, the lowest common multiple of 269,304,943,328 is 77114768.
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.
269 x 304 x 943 x 328 = 25293643904
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.
269 : 1, 269
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
943 : 1, 23, 41, 943
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,304,943,328, is 1.
Now, the common factors can be found like this.
269:269
304:2x 2x 2x 2x 19
943:23x 41
328:2x 2x 2x 41
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 41 = 328
Therefore, the value for common factors is 328.
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 = 25293643904/(1x328)
LCM = 25293643904/328
LCM = 77114768
Thus, we can understand that the LCM of 269,304,943,328 is 77114768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 304, 943, 328
1. What is the LCM of 269, 304, 943, 328?
Answer: LCM of 269, 304, 943, 328 is 77114768.
2. How to calculate the LCM of 269, 304, 943, 328?
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 269, 304, 943, 328.
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}.