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LCM of 567, 828, 747, 447, 531

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


Find the LCM of 567, 828, 747, 447, 531 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 567, 828, 747, 447, 531. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 567,828,747,447,531

Given numbers are 567,828,747,447,531

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

The LCM of 567,828,747,447,531 is 38061619092.

Find LCM of 567,828,747,447,531 with Prime Factorization


3 567, 828, 747, 447, 531
3 189, 276, 249, 149, 177
63, 92, 83, 149, 59

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

3 x 3 x 63 x 92 x 83 x 149 x 59 = 38061619092

Therefore, the lowest common multiple of 567,828,747,447,531 is 38061619092.

LCM Formula to Find Lowest Common Multiple of 567,828,747,447,531

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.

567 x 828 x 747 x 447 x 531 = 83240760954204

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

747 : 1, 3, 9, 83, 249, 747

447 : 1, 3, 149, 447

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,828,747,447,531, is 3.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

828:2x 2x 3x 3x 23

747:3x 3x 83

447:3x 149

531:3x 3x 59

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 3x 3x 3x 3 = 729

Therefore, the value for common factors is 729.

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 = 83240760954204/(3x729)

LCM = 83240760954204/2187

LCM = 38061619092

Thus, we can understand that the LCM of 567,828,747,447,531 is 38061619092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 567, 828, 747, 447, 531

1. What is the LCM of 567, 828, 747, 447, 531?

Answer: LCM of 567, 828, 747, 447, 531 is 38061619092.

2. How to calculate the LCM of 567, 828, 747, 447, 531?

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 567, 828, 747, 447, 531.

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}.