LCM of 748, 216, 901, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 216, 901, 405 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 748, 216, 901, 405. So, keep reading to learn more.
Given numbers are 748,216,901,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,216,901,405 is 32111640.
Find LCM of 748,216,901,405 with Prime Factorization
| 2 | 748, 216, 901, 405 |
| 2 | 374, 108, 901, 405 |
| 3 | 187, 54, 901, 405 |
| 3 | 187, 18, 901, 135 |
| 3 | 187, 6, 901, 45 |
| 17 | 187, 2, 901, 15 |
| 11, 2, 53, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 17 x 11 x 2 x 53 x 15 = 32111640
Therefore, the lowest common multiple of 748,216,901,405 is 32111640.
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.
748 x 216 x 901 x 405 = 58956971040
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
901 : 1, 17, 53, 901
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,216,901,405, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
216:2x 2x 2x 3x 3x 3
901:17x 53
405:3x 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 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 58956971040/(1x1836)
LCM = 58956971040/1836
LCM = 32111640
Thus, we can understand that the LCM of 748,216,901,405 is 32111640.
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FAQs on LCM of 748, 216, 901, 405
1. What is the LCM of 748, 216, 901, 405?
Answer: LCM of 748, 216, 901, 405 is 32111640.
2. How to calculate the LCM of 748, 216, 901, 405?
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 748, 216, 901, 405.
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}.