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LCM of 327, 154, 176, 451, 755

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


Find the LCM of 327, 154, 176, 451, 755 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 327, 154, 176, 451, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,154,176,451,755

Given numbers are 327,154,176,451,755

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

The LCM of 327,154,176,451,755 is 12470655120.

Find LCM of 327,154,176,451,755 with Prime Factorization


2 327, 154, 176, 451, 755
11 327, 77, 88, 451, 755
327, 7, 8, 41, 755

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

2 x 11 x 327 x 7 x 8 x 41 x 755 = 12470655120

Therefore, the lowest common multiple of 327,154,176,451,755 is 12470655120.

LCM Formula to Find Lowest Common Multiple of 327,154,176,451,755

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.

327 x 154 x 176 x 451 x 755 = 3017898539040

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.

327 : 1, 3, 109, 327

154 : 1, 2, 7, 11, 14, 22, 77, 154

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

451 : 1, 11, 41, 451

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,154,176,451,755, is 1.

Now, the common factors can be found like this.

327:3x 109

154:2x 7x 11

176:2x 2x 2x 2x 11

451:11x 41

755:5x 151

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 3017898539040/(1x242)

LCM = 3017898539040/242

LCM = 12470655120

Thus, we can understand that the LCM of 327,154,176,451,755 is 12470655120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 154, 176, 451, 755

1. What is the LCM of 327, 154, 176, 451, 755?

Answer: LCM of 327, 154, 176, 451, 755 is 12470655120.

2. How to calculate the LCM of 327, 154, 176, 451, 755?

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 327, 154, 176, 451, 755.

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}.