LCM of 927, 406, 728, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 406, 728, 448 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 927, 406, 728, 448. So, keep reading to learn more.
Given numbers are 927,406,728,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,406,728,448 is 156566592.
Find LCM of 927,406,728,448 with Prime Factorization
| 2 | 927, 406, 728, 448 |
| 2 | 927, 203, 364, 224 |
| 2 | 927, 203, 182, 112 |
| 7 | 927, 203, 91, 56 |
| 927, 29, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 927 x 29 x 13 x 8 = 156566592
Therefore, the lowest common multiple of 927,406,728,448 is 156566592.
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.
927 x 406 x 728 x 448 = 122748208128
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.
927 : 1, 3, 9, 103, 309, 927
406 : 1, 2, 7, 14, 29, 58, 203, 406
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,406,728,448, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
406:2x 7x 29
728:2x 2x 2x 7x 13
448:2x 2x 2x 2x 2x 2x 7
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 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 122748208128/(1x784)
LCM = 122748208128/784
LCM = 156566592
Thus, we can understand that the LCM of 927,406,728,448 is 156566592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 927, 406, 728, 448
1. What is the LCM of 927, 406, 728, 448?
Answer: LCM of 927, 406, 728, 448 is 156566592.
2. How to calculate the LCM of 927, 406, 728, 448?
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 927, 406, 728, 448.
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}.