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LCM of 935, 803, 996, 487

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


Find the LCM of 935, 803, 996, 487 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 935, 803, 996, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,803,996,487

Given numbers are 935,803,996,487

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

The LCM of 935,803,996,487 is 33107224260.

Find LCM of 935,803,996,487 with Prime Factorization


11 935, 803, 996, 487
85, 73, 996, 487

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

11 x 85 x 73 x 996 x 487 = 33107224260

Therefore, the lowest common multiple of 935,803,996,487 is 33107224260.

LCM Formula to Find Lowest Common Multiple of 935,803,996,487

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.

935 x 803 x 996 x 487 = 364179466860

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.

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

803 : 1, 11, 73, 803

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,803,996,487, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

803:11x 73

996:2x 2x 3x 83

487:487

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

11 = 11

Therefore, the value for common factors is 11.

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 = 364179466860/(1x11)

LCM = 364179466860/11

LCM = 33107224260

Thus, we can understand that the LCM of 935,803,996,487 is 33107224260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 803, 996, 487

1. What is the LCM of 935, 803, 996, 487?

Answer: LCM of 935, 803, 996, 487 is 33107224260.

2. How to calculate the LCM of 935, 803, 996, 487?

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 935, 803, 996, 487.

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}.