LCM of 850, 525, 888, 945, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 525, 888, 945, 935 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 850, 525, 888, 945, 935. So, keep reading to learn more.
Given numbers are 850,525,888,945,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,525,888,945,935 is 261538200.
Find LCM of 850,525,888,945,935 with Prime Factorization
| 2 | 850, 525, 888, 945, 935 |
| 3 | 425, 525, 444, 945, 935 |
| 5 | 425, 175, 148, 315, 935 |
| 5 | 85, 35, 148, 63, 187 |
| 7 | 17, 7, 148, 63, 187 |
| 17 | 17, 1, 148, 9, 187 |
| 1, 1, 148, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 17 x 1 x 1 x 148 x 9 x 11 = 261538200
Therefore, the lowest common multiple of 850,525,888,945,935 is 261538200.
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.
850 x 525 x 888 x 945 x 935 = 350134265250000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,525,888,945,935, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
525:3x 5x 5x 7
888:2x 2x 2x 3x 37
945:3x 3x 3x 5x 7
935:5x 11x 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 3x 3x 5x 5x 5x 5x 7x 17 = 1338750
Therefore, the value for common factors is 1338750.
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 = 350134265250000/(1x1338750)
LCM = 350134265250000/1338750
LCM = 261538200
Thus, we can understand that the LCM of 850,525,888,945,935 is 261538200.
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FAQs on LCM of 850, 525, 888, 945, 935
1. What is the LCM of 850, 525, 888, 945, 935?
Answer: LCM of 850, 525, 888, 945, 935 is 261538200.
2. How to calculate the LCM of 850, 525, 888, 945, 935?
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 850, 525, 888, 945, 935.
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}.