LCM of 814, 738, 540, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 738, 540, 850 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 814, 738, 540, 850. So, keep reading to learn more.
Given numbers are 814,738,540,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,738,540,850 is 765933300.
Find LCM of 814,738,540,850 with Prime Factorization
| 2 | 814, 738, 540, 850 |
| 3 | 407, 369, 270, 425 |
| 3 | 407, 123, 90, 425 |
| 5 | 407, 41, 30, 425 |
| 407, 41, 6, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 407 x 41 x 6 x 85 = 765933300
Therefore, the lowest common multiple of 814,738,540,850 is 765933300.
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.
814 x 738 x 540 x 850 = 275735988000
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,738,540,850, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
738:2x 3x 3x 41
540:2x 2x 3x 3x 3x 5
850:2x 5x 5x 17
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 5 = 180
Therefore, the value for common factors is 180.
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 = 275735988000/(2x180)
LCM = 275735988000/360
LCM = 765933300
Thus, we can understand that the LCM of 814,738,540,850 is 765933300.
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FAQs on LCM of 814, 738, 540, 850
1. What is the LCM of 814, 738, 540, 850?
Answer: LCM of 814, 738, 540, 850 is 765933300.
2. How to calculate the LCM of 814, 738, 540, 850?
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 814, 738, 540, 850.
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}.