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LCM of 230, 213, 478, 733

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


Find the LCM of 230, 213, 478, 733 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 230, 213, 478, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,213,478,733

Given numbers are 230,213,478,733

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

The LCM of 230,213,478,733 is 8582411130.

Find LCM of 230,213,478,733 with Prime Factorization


2 230, 213, 478, 733
115, 213, 239, 733

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

2 x 115 x 213 x 239 x 733 = 8582411130

Therefore, the lowest common multiple of 230,213,478,733 is 8582411130.

LCM Formula to Find Lowest Common Multiple of 230,213,478,733

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.

230 x 213 x 478 x 733 = 17164822260

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

213 : 1, 3, 71, 213

478 : 1, 2, 239, 478

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,213,478,733, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

213:3x 71

478:2x 239

733:733

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17164822260/(1x2)

LCM = 17164822260/2

LCM = 8582411130

Thus, we can understand that the LCM of 230,213,478,733 is 8582411130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 213, 478, 733

1. What is the LCM of 230, 213, 478, 733?

Answer: LCM of 230, 213, 478, 733 is 8582411130.

2. How to calculate the LCM of 230, 213, 478, 733?

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 230, 213, 478, 733.

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}.