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LCM of 204, 952, 935, 903

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 204, 952, 935, 903 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 204, 952, 935, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,952,935,903

Given numbers are 204,952,935,903

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 204,952,935,903 is 6754440.

Find LCM of 204,952,935,903 with Prime Factorization


2 204, 952, 935, 903
2 102, 476, 935, 903
3 51, 238, 935, 903
7 17, 238, 935, 301
17 17, 34, 935, 43
1, 2, 55, 43

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 7 x 17 x 1 x 2 x 55 x 43 = 6754440

Therefore, the lowest common multiple of 204,952,935,903 is 6754440.

LCM Formula to Find Lowest Common Multiple of 204,952,935,903

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.

204 x 952 x 935 x 903 = 163970785440

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

935 : 1, 5, 11, 17, 55, 85, 187, 935

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,952,935,903, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

952:2x 2x 2x 7x 17

935:5x 11x 17

903:3x 7x 43

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 7x 17x 17 = 24276

Therefore, the value for common factors is 24276.

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 = 163970785440/(1x24276)

LCM = 163970785440/24276

LCM = 6754440

Thus, we can understand that the LCM of 204,952,935,903 is 6754440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 952, 935, 903

1. What is the LCM of 204, 952, 935, 903?

Answer: LCM of 204, 952, 935, 903 is 6754440.

2. How to calculate the LCM of 204, 952, 935, 903?

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 204, 952, 935, 903.

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}.