LCM of 741, 442, 540, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 442, 540, 216 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 741, 442, 540, 216. So, keep reading to learn more.
Given numbers are 741,442,540,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,442,540,216 is 4534920.
Find LCM of 741,442,540,216 with Prime Factorization
| 2 | 741, 442, 540, 216 |
| 2 | 741, 221, 270, 108 |
| 3 | 741, 221, 135, 54 |
| 3 | 247, 221, 45, 18 |
| 3 | 247, 221, 15, 6 |
| 13 | 247, 221, 5, 2 |
| 19, 17, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 13 x 19 x 17 x 5 x 2 = 4534920
Therefore, the lowest common multiple of 741,442,540,216 is 4534920.
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.
741 x 442 x 540 x 216 = 38202166080
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
442 : 1, 2, 13, 17, 26, 34, 221, 442
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
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,442,540,216, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
442:2x 13x 17
540:2x 2x 3x 3x 3x 5
216:2x 2x 2x 3x 3x 3
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 3x 3x 3x 13 = 8424
Therefore, the value for common factors is 8424.
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 = 38202166080/(1x8424)
LCM = 38202166080/8424
LCM = 4534920
Thus, we can understand that the LCM of 741,442,540,216 is 4534920.
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FAQs on LCM of 741, 442, 540, 216
1. What is the LCM of 741, 442, 540, 216?
Answer: LCM of 741, 442, 540, 216 is 4534920.
2. How to calculate the LCM of 741, 442, 540, 216?
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 741, 442, 540, 216.
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}.