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LCM of 530, 451, 332, 402, 166

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


Find the LCM of 530, 451, 332, 402, 166 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 530, 451, 332, 402, 166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,451,332,402,166

Given numbers are 530,451,332,402,166

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

The LCM of 530,451,332,402,166 is 7975474980.

Find LCM of 530,451,332,402,166 with Prime Factorization


2 530, 451, 332, 402, 166
83 265, 451, 166, 201, 83
265, 451, 2, 201, 1

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

2 x 83 x 265 x 451 x 2 x 201 x 1 = 7975474980

Therefore, the lowest common multiple of 530,451,332,402,166 is 7975474980.

LCM Formula to Find Lowest Common Multiple of 530,451,332,402,166

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.

530 x 451 x 332 x 402 x 166 = 5295715386720

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

451 : 1, 11, 41, 451

332 : 1, 2, 4, 83, 166, 332

402 : 1, 2, 3, 6, 67, 134, 201, 402

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,451,332,402,166, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

451:11x 41

332:2x 2x 83

402:2x 3x 67

166:2x 83

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 83 = 664

Therefore, the value for common factors is 664.

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 = 5295715386720/(1x664)

LCM = 5295715386720/664

LCM = 7975474980

Thus, we can understand that the LCM of 530,451,332,402,166 is 7975474980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 451, 332, 402, 166

1. What is the LCM of 530, 451, 332, 402, 166?

Answer: LCM of 530, 451, 332, 402, 166 is 7975474980.

2. How to calculate the LCM of 530, 451, 332, 402, 166?

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 530, 451, 332, 402, 166.

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}.