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LCM of 305, 829, 940, 255

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


Find the LCM of 305, 829, 940, 255 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 305, 829, 940, 255. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,829,940,255

Given numbers are 305,829,940,255

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

The LCM of 305,829,940,255 is 2424277860.

Find LCM of 305,829,940,255 with Prime Factorization


5 305, 829, 940, 255
61, 829, 188, 51

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

5 x 61 x 829 x 188 x 51 = 2424277860

Therefore, the lowest common multiple of 305,829,940,255 is 2424277860.

LCM Formula to Find Lowest Common Multiple of 305,829,940,255

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.

305 x 829 x 940 x 255 = 60606946500

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.

305 : 1, 5, 61, 305

829 : 1, 829

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

255 : 1, 3, 5, 15, 17, 51, 85, 255

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,829,940,255, is 1.

Now, the common factors can be found like this.

305:5x 61

829:829

940:2x 2x 5x 47

255:3x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 60606946500/(1x25)

LCM = 60606946500/25

LCM = 2424277860

Thus, we can understand that the LCM of 305,829,940,255 is 2424277860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 829, 940, 255

1. What is the LCM of 305, 829, 940, 255?

Answer: LCM of 305, 829, 940, 255 is 2424277860.

2. How to calculate the LCM of 305, 829, 940, 255?

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 305, 829, 940, 255.

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}.