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LCM of 128, 253, 935, 245

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


Find the LCM of 128, 253, 935, 245 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 128, 253, 935, 245. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 128,253,935,245

Given numbers are 128,253,935,245

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

The LCM of 128,253,935,245 is 134879360.

Find LCM of 128,253,935,245 with Prime Factorization


5 128, 253, 935, 245
11 128, 253, 187, 49
128, 23, 17, 49

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

5 x 11 x 128 x 23 x 17 x 49 = 134879360

Therefore, the lowest common multiple of 128,253,935,245 is 134879360.

LCM Formula to Find Lowest Common Multiple of 128,253,935,245

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.

128 x 253 x 935 x 245 = 7418364800

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

253 : 1, 11, 23, 253

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

245 : 1, 5, 7, 35, 49, 245

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,253,935,245, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

253:11x 23

935:5x 11x 17

245:5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 7418364800/(1x55)

LCM = 7418364800/55

LCM = 134879360

Thus, we can understand that the LCM of 128,253,935,245 is 134879360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 128, 253, 935, 245

1. What is the LCM of 128, 253, 935, 245?

Answer: LCM of 128, 253, 935, 245 is 134879360.

2. How to calculate the LCM of 128, 253, 935, 245?

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 128, 253, 935, 245.

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}.