LCM of 838, 550, 895, 814, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 550, 895, 814, 777 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 838, 550, 895, 814, 777. So, keep reading to learn more.
Given numbers are 838,550,895,814,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,550,895,814,777 is 32051677350.
Find LCM of 838,550,895,814,777 with Prime Factorization
| 2 | 838, 550, 895, 814, 777 |
| 5 | 419, 275, 895, 407, 777 |
| 11 | 419, 55, 179, 407, 777 |
| 37 | 419, 5, 179, 37, 777 |
| 419, 5, 179, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 37 x 419 x 5 x 179 x 1 x 21 = 32051677350
Therefore, the lowest common multiple of 838,550,895,814,777 is 32051677350.
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.
838 x 550 x 895 x 814 x 777 = 260900653629000
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.
838 : 1, 2, 419, 838
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
895 : 1, 5, 179, 895
814 : 1, 2, 11, 22, 37, 74, 407, 814
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,550,895,814,777, is 1.
Now, the common factors can be found like this.
838:2x 419
550:2x 5x 5x 11
895:5x 179
814:2x 11x 37
777:3x 7x 37
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 5x 11x 37 = 8140
Therefore, the value for common factors is 8140.
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 = 260900653629000/(1x8140)
LCM = 260900653629000/8140
LCM = 32051677350
Thus, we can understand that the LCM of 838,550,895,814,777 is 32051677350.
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FAQs on LCM of 838, 550, 895, 814, 777
1. What is the LCM of 838, 550, 895, 814, 777?
Answer: LCM of 838, 550, 895, 814, 777 is 32051677350.
2. How to calculate the LCM of 838, 550, 895, 814, 777?
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 838, 550, 895, 814, 777.
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}.