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LCM of 484, 704, 636, 170, 167

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


Find the LCM of 484, 704, 636, 170, 167 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 484, 704, 636, 170, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,704,636,170,167

Given numbers are 484,704,636,170,167

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

The LCM of 484,704,636,170,167 is 17478246720.

Find LCM of 484,704,636,170,167 with Prime Factorization


2 484, 704, 636, 170, 167
2 242, 352, 318, 85, 167
11 121, 176, 159, 85, 167
11, 16, 159, 85, 167

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

2 x 2 x 11 x 11 x 16 x 159 x 85 x 167 = 17478246720

Therefore, the lowest common multiple of 484,704,636,170,167 is 17478246720.

LCM Formula to Find Lowest Common Multiple of 484,704,636,170,167

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.

484 x 704 x 636 x 170 x 167 = 6152342845440

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.

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

170 : 1, 2, 5, 10, 17, 34, 85, 170

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,704,636,170,167, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

704:2x 2x 2x 2x 2x 2x 11

636:2x 2x 3x 53

170:2x 5x 17

167:167

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 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 6152342845440/(1x352)

LCM = 6152342845440/352

LCM = 17478246720

Thus, we can understand that the LCM of 484,704,636,170,167 is 17478246720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 704, 636, 170, 167

1. What is the LCM of 484, 704, 636, 170, 167?

Answer: LCM of 484, 704, 636, 170, 167 is 17478246720.

2. How to calculate the LCM of 484, 704, 636, 170, 167?

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 484, 704, 636, 170, 167.

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}.