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LCM of 531, 303, 741, 356, 381

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


Find the LCM of 531, 303, 741, 356, 381 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 531, 303, 741, 356, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,303,741,356,381

Given numbers are 531,303,741,356,381

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

The LCM of 531,303,741,356,381 is 598916898684.

Find LCM of 531,303,741,356,381 with Prime Factorization


3 531, 303, 741, 356, 381
177, 101, 247, 356, 127

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

3 x 177 x 101 x 247 x 356 x 127 = 598916898684

Therefore, the lowest common multiple of 531,303,741,356,381 is 598916898684.

LCM Formula to Find Lowest Common Multiple of 531,303,741,356,381

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.

531 x 303 x 741 x 356 x 381 = 16170756264468

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.

531 : 1, 3, 9, 59, 177, 531

303 : 1, 3, 101, 303

741 : 1, 3, 13, 19, 39, 57, 247, 741

356 : 1, 2, 4, 89, 178, 356

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,303,741,356,381, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

303:3x 101

741:3x 13x 19

356:2x 2x 89

381:3x 127

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 16170756264468/(1x27)

LCM = 16170756264468/27

LCM = 598916898684

Thus, we can understand that the LCM of 531,303,741,356,381 is 598916898684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 303, 741, 356, 381

1. What is the LCM of 531, 303, 741, 356, 381?

Answer: LCM of 531, 303, 741, 356, 381 is 598916898684.

2. How to calculate the LCM of 531, 303, 741, 356, 381?

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 531, 303, 741, 356, 381.

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}.