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LCM of 803, 146, 165

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


Find the LCM of 803, 146, 165 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 803, 146, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,146,165

Given numbers are 803,146,165

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

The LCM of 803,146,165 is 24090.

Find LCM of 803,146,165 with Prime Factorization


11 803, 146, 165
73 73, 146, 15
1, 2, 15

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

11 x 73 x 1 x 2 x 15 = 24090

Therefore, the lowest common multiple of 803,146,165 is 24090.

LCM Formula to Find Lowest Common Multiple of 803,146,165

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.

803 x 146 x 165 = 19344270

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.

803 : 1, 11, 73, 803

146 : 1, 2, 73, 146

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,146,165, is 1.

Now, the common factors can be found like this.

803:11x 73

146:2x 73

165:3x 5x 11

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

11x 73 = 803

Therefore, the value for common factors is 803.

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 = 19344270/(1x803)

LCM = 19344270/803

LCM = 24090

Thus, we can understand that the LCM of 803,146,165 is 24090.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 803, 146, 165

1. What is the LCM of 803, 146, 165?

Answer: LCM of 803, 146, 165 is 24090.

2. How to calculate the LCM of 803, 146, 165?

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 803, 146, 165.

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}.