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LCM of 538, 807, 287, 864, 505

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


Find the LCM of 538, 807, 287, 864, 505 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 538, 807, 287, 864, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,807,287,864,505

Given numbers are 538,807,287,864,505

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

The LCM of 538,807,287,864,505 is 33685212960.

Find LCM of 538,807,287,864,505 with Prime Factorization


2 538, 807, 287, 864, 505
3 269, 807, 287, 432, 505
269 269, 269, 287, 144, 505
1, 1, 287, 144, 505

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

2 x 3 x 269 x 1 x 1 x 287 x 144 x 505 = 33685212960

Therefore, the lowest common multiple of 538,807,287,864,505 is 33685212960.

LCM Formula to Find Lowest Common Multiple of 538,807,287,864,505

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.

538 x 807 x 287 x 864 x 505 = 54367933717440

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.

538 : 1, 2, 269, 538

807 : 1, 3, 269, 807

287 : 1, 7, 41, 287

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,807,287,864,505, is 1.

Now, the common factors can be found like this.

538:2x 269

807:3x 269

287:7x 41

864:2x 2x 2x 2x 2x 3x 3x 3

505:5x 101

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

2x 3x 269 = 1614

Therefore, the value for common factors is 1614.

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 = 54367933717440/(1x1614)

LCM = 54367933717440/1614

LCM = 33685212960

Thus, we can understand that the LCM of 538,807,287,864,505 is 33685212960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 807, 287, 864, 505

1. What is the LCM of 538, 807, 287, 864, 505?

Answer: LCM of 538, 807, 287, 864, 505 is 33685212960.

2. How to calculate the LCM of 538, 807, 287, 864, 505?

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 538, 807, 287, 864, 505.

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}.