LCM of 200, 935, 363, 799, 883
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 935, 363, 799, 883 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 200, 935, 363, 799, 883. So, keep reading to learn more.
Given numbers are 200,935,363,799,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,935,363,799,883 is 51220534200.
Find LCM of 200,935,363,799,883 with Prime Factorization
| 5 | 200, 935, 363, 799, 883 |
| 11 | 40, 187, 363, 799, 883 |
| 17 | 40, 17, 33, 799, 883 |
| 40, 1, 33, 47, 883 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 40 x 1 x 33 x 47 x 883 = 51220534200
Therefore, the lowest common multiple of 200,935,363,799,883 is 51220534200.
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.
200 x 935 x 363 x 799 x 883 = 47891199477000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
935 : 1, 5, 11, 17, 55, 85, 187, 935
363 : 1, 3, 11, 33, 121, 363
799 : 1, 17, 47, 799
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,935,363,799,883, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
935:5x 11x 17
363:3x 11x 11
799:17x 47
883:883
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 17 = 935
Therefore, the value for common factors is 935.
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 = 47891199477000/(1x935)
LCM = 47891199477000/935
LCM = 51220534200
Thus, we can understand that the LCM of 200,935,363,799,883 is 51220534200.
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FAQs on LCM of 200, 935, 363, 799, 883
1. What is the LCM of 200, 935, 363, 799, 883?
Answer: LCM of 200, 935, 363, 799, 883 is 51220534200.
2. How to calculate the LCM of 200, 935, 363, 799, 883?
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 200, 935, 363, 799, 883.
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}.