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LCM of 483, 748, 231, 437

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


Find the LCM of 483, 748, 231, 437 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 483, 748, 231, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 483,748,231,437

Given numbers are 483,748,231,437

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

The LCM of 483,748,231,437 is 6864396.

Find LCM of 483,748,231,437 with Prime Factorization


3 483, 748, 231, 437
7 161, 748, 77, 437
11 23, 748, 11, 437
23 23, 68, 1, 437
1, 68, 1, 19

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

3 x 7 x 11 x 23 x 1 x 68 x 1 x 19 = 6864396

Therefore, the lowest common multiple of 483,748,231,437 is 6864396.

LCM Formula to Find Lowest Common Multiple of 483,748,231,437

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.

483 x 748 x 231 x 437 = 36470535948

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

231 : 1, 3, 7, 11, 21, 33, 77, 231

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,748,231,437, is 1.

Now, the common factors can be found like this.

483:3x 7x 23

748:2x 2x 11x 17

231:3x 7x 11

437:19x 23

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

3x 7x 11x 23 = 5313

Therefore, the value for common factors is 5313.

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 = 36470535948/(1x5313)

LCM = 36470535948/5313

LCM = 6864396

Thus, we can understand that the LCM of 483,748,231,437 is 6864396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 483, 748, 231, 437

1. What is the LCM of 483, 748, 231, 437?

Answer: LCM of 483, 748, 231, 437 is 6864396.

2. How to calculate the LCM of 483, 748, 231, 437?

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 483, 748, 231, 437.

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}.