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LCM of 474, 484, 173, 244, 687

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


Find the LCM of 474, 484, 173, 244, 687 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 474, 484, 173, 244, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,484,173,244,687

Given numbers are 474,484,173,244,687

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

The LCM of 474,484,173,244,687 is 277207596996.

Find LCM of 474,484,173,244,687 with Prime Factorization


2 474, 484, 173, 244, 687
2 237, 242, 173, 122, 687
3 237, 121, 173, 61, 687
79, 121, 173, 61, 229

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

2 x 2 x 3 x 79 x 121 x 173 x 61 x 229 = 277207596996

Therefore, the lowest common multiple of 474,484,173,244,687 is 277207596996.

LCM Formula to Find Lowest Common Multiple of 474,484,173,244,687

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.

474 x 484 x 173 x 244 x 687 = 6652982327904

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

173 : 1, 173

244 : 1, 2, 4, 61, 122, 244

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,484,173,244,687, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

484:2x 2x 11x 11

173:173

244:2x 2x 61

687:3x 229

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6652982327904/(1x24)

LCM = 6652982327904/24

LCM = 277207596996

Thus, we can understand that the LCM of 474,484,173,244,687 is 277207596996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 484, 173, 244, 687

1. What is the LCM of 474, 484, 173, 244, 687?

Answer: LCM of 474, 484, 173, 244, 687 is 277207596996.

2. How to calculate the LCM of 474, 484, 173, 244, 687?

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 474, 484, 173, 244, 687.

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}.