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LCM of 873, 288, 736, 615

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


Find the LCM of 873, 288, 736, 615 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 873, 288, 736, 615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,288,736,615

Given numbers are 873,288,736,615

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

The LCM of 873,288,736,615 is 131718240.

Find LCM of 873,288,736,615 with Prime Factorization


2 873, 288, 736, 615
2 873, 144, 368, 615
2 873, 72, 184, 615
2 873, 36, 92, 615
2 873, 18, 46, 615
3 873, 9, 23, 615
3 291, 3, 23, 205
97, 1, 23, 205

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 97 x 1 x 23 x 205 = 131718240

Therefore, the lowest common multiple of 873,288,736,615 is 131718240.

LCM Formula to Find Lowest Common Multiple of 873,288,736,615

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.

873 x 288 x 736 x 615 = 113804559360

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.

873 : 1, 3, 9, 97, 291, 873

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

615 : 1, 3, 5, 15, 41, 123, 205, 615

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,288,736,615, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

288:2x 2x 2x 2x 2x 3x 3

736:2x 2x 2x 2x 2x 23

615:3x 5x 41

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 113804559360/(1x864)

LCM = 113804559360/864

LCM = 131718240

Thus, we can understand that the LCM of 873,288,736,615 is 131718240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 288, 736, 615

1. What is the LCM of 873, 288, 736, 615?

Answer: LCM of 873, 288, 736, 615 is 131718240.

2. How to calculate the LCM of 873, 288, 736, 615?

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 873, 288, 736, 615.

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}.