LCM of 263, 442, 491, 312, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 442, 491, 312, 540 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 263, 442, 491, 312, 540. So, keep reading to learn more.
Given numbers are 263,442,491,312,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,442,491,312,540 is 30821464440.
Find LCM of 263,442,491,312,540 with Prime Factorization
| 2 | 263, 442, 491, 312, 540 |
| 2 | 263, 221, 491, 156, 270 |
| 3 | 263, 221, 491, 78, 135 |
| 13 | 263, 221, 491, 26, 45 |
| 263, 17, 491, 2, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 263 x 17 x 491 x 2 x 45 = 30821464440
Therefore, the lowest common multiple of 263,442,491,312,540 is 30821464440.
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.
263 x 442 x 491 x 312 x 540 = 9616296905280
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.
263 : 1, 263
442 : 1, 2, 13, 17, 26, 34, 221, 442
491 : 1, 491
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,442,491,312,540, is 1.
Now, the common factors can be found like this.
263:263
442:2x 13x 17
491:491
312:2x 2x 2x 3x 13
540:2x 2x 3x 3x 3x 5
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 9616296905280/(1x312)
LCM = 9616296905280/312
LCM = 30821464440
Thus, we can understand that the LCM of 263,442,491,312,540 is 30821464440.
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FAQs on LCM of 263, 442, 491, 312, 540
1. What is the LCM of 263, 442, 491, 312, 540?
Answer: LCM of 263, 442, 491, 312, 540 is 30821464440.
2. How to calculate the LCM of 263, 442, 491, 312, 540?
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 263, 442, 491, 312, 540.
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}.