LCM of 538, 279, 319, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 279, 319, 261 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 538, 279, 319, 261. So, keep reading to learn more.
Given numbers are 538,279,319,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,279,319,261 is 47882538.
Find LCM of 538,279,319,261 with Prime Factorization
| 3 | 538, 279, 319, 261 |
| 3 | 538, 93, 319, 87 |
| 29 | 538, 31, 319, 29 |
| 538, 31, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 538 x 31 x 11 x 1 = 47882538
Therefore, the lowest common multiple of 538,279,319,261 is 47882538.
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.
538 x 279 x 319 x 261 = 12497342418
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.
538 : 1, 2, 269, 538
279 : 1, 3, 9, 31, 93, 279
319 : 1, 11, 29, 319
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,279,319,261, is 1.
Now, the common factors can be found like this.
538:2x 269
279:3x 3x 31
319:11x 29
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 12497342418/(1x261)
LCM = 12497342418/261
LCM = 47882538
Thus, we can understand that the LCM of 538,279,319,261 is 47882538.
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FAQs on LCM of 538, 279, 319, 261
1. What is the LCM of 538, 279, 319, 261?
Answer: LCM of 538, 279, 319, 261 is 47882538.
2. How to calculate the LCM of 538, 279, 319, 261?
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 538, 279, 319, 261.
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}.