LCM of 727, 208, 780, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 208, 780, 838 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 727, 208, 780, 838. So, keep reading to learn more.
Given numbers are 727,208,780,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,208,780,838 is 950392560.
Find LCM of 727,208,780,838 with Prime Factorization
| 2 | 727, 208, 780, 838 |
| 2 | 727, 104, 390, 419 |
| 13 | 727, 52, 195, 419 |
| 727, 4, 15, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 727 x 4 x 15 x 419 = 950392560
Therefore, the lowest common multiple of 727,208,780,838 is 950392560.
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.
727 x 208 x 780 x 838 = 98840826240
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.
727 : 1, 727
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,208,780,838, is 1.
Now, the common factors can be found like this.
727:727
208:2x 2x 2x 2x 13
780:2x 2x 3x 5x 13
838:2x 419
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 13 = 104
Therefore, the value for common factors is 104.
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 = 98840826240/(1x104)
LCM = 98840826240/104
LCM = 950392560
Thus, we can understand that the LCM of 727,208,780,838 is 950392560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 727, 208, 780, 838
1. What is the LCM of 727, 208, 780, 838?
Answer: LCM of 727, 208, 780, 838 is 950392560.
2. How to calculate the LCM of 727, 208, 780, 838?
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 727, 208, 780, 838.
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}.