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LCM of 904, 855, 406, 285

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


Find the LCM of 904, 855, 406, 285 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 904, 855, 406, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,855,406,285

Given numbers are 904,855,406,285

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

The LCM of 904,855,406,285 is 156902760.

Find LCM of 904,855,406,285 with Prime Factorization


2 904, 855, 406, 285
3 452, 855, 203, 285
5 452, 95, 203, 285
19 452, 19, 203, 57
452, 1, 203, 3

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

2 x 3 x 5 x 19 x 452 x 1 x 203 x 3 = 156902760

Therefore, the lowest common multiple of 904,855,406,285 is 156902760.

LCM Formula to Find Lowest Common Multiple of 904,855,406,285

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.

904 x 855 x 406 x 285 = 89434573200

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

406 : 1, 2, 7, 14, 29, 58, 203, 406

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,855,406,285, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

855:3x 3x 5x 19

406:2x 7x 29

285:3x 5x 19

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 5x 19 = 570

Therefore, the value for common factors is 570.

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 = 89434573200/(1x570)

LCM = 89434573200/570

LCM = 156902760

Thus, we can understand that the LCM of 904,855,406,285 is 156902760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 855, 406, 285

1. What is the LCM of 904, 855, 406, 285?

Answer: LCM of 904, 855, 406, 285 is 156902760.

2. How to calculate the LCM of 904, 855, 406, 285?

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 904, 855, 406, 285.

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}.