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LCM of 804, 737, 130, 461

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


Find the LCM of 804, 737, 130, 461 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 804, 737, 130, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 804,737,130,461

Given numbers are 804,737,130,461

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

The LCM of 804,737,130,461 is 265010460.

Find LCM of 804,737,130,461 with Prime Factorization


2 804, 737, 130, 461
67 402, 737, 65, 461
6, 11, 65, 461

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

2 x 67 x 6 x 11 x 65 x 461 = 265010460

Therefore, the lowest common multiple of 804,737,130,461 is 265010460.

LCM Formula to Find Lowest Common Multiple of 804,737,130,461

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.

804 x 737 x 130 x 461 = 35511401640

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

737 : 1, 11, 67, 737

130 : 1, 2, 5, 10, 13, 26, 65, 130

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,737,130,461, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

737:11x 67

130:2x 5x 13

461:461

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 35511401640/(1x134)

LCM = 35511401640/134

LCM = 265010460

Thus, we can understand that the LCM of 804,737,130,461 is 265010460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 804, 737, 130, 461

1. What is the LCM of 804, 737, 130, 461?

Answer: LCM of 804, 737, 130, 461 is 265010460.

2. How to calculate the LCM of 804, 737, 130, 461?

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 804, 737, 130, 461.

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}.