LCM of 327, 540, 768, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 540, 768, 279 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 327, 540, 768, 279. So, keep reading to learn more.
Given numbers are 327,540,768,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,540,768,279 is 116778240.
Find LCM of 327,540,768,279 with Prime Factorization
| 2 | 327, 540, 768, 279 |
| 2 | 327, 270, 384, 279 |
| 3 | 327, 135, 192, 279 |
| 3 | 109, 45, 64, 93 |
| 109, 15, 64, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 109 x 15 x 64 x 31 = 116778240
Therefore, the lowest common multiple of 327,540,768,279 is 116778240.
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.
327 x 540 x 768 x 279 = 37836149760
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.
327 : 1, 3, 109, 327
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
279 : 1, 3, 9, 31, 93, 279
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,540,768,279, is 3.
Now, the common factors can be found like this.
327:3x 109
540:2x 2x 3x 3x 3x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
279:3x 3x 31
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 37836149760/(3x108)
LCM = 37836149760/324
LCM = 116778240
Thus, we can understand that the LCM of 327,540,768,279 is 116778240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 327, 540, 768, 279
1. What is the LCM of 327, 540, 768, 279?
Answer: LCM of 327, 540, 768, 279 is 116778240.
2. How to calculate the LCM of 327, 540, 768, 279?
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 327, 540, 768, 279.
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}.