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LCM of 867, 384, 488, 539

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


Find the LCM of 867, 384, 488, 539 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 867, 384, 488, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,384,488,539

Given numbers are 867,384,488,539

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

The LCM of 867,384,488,539 is 3648779904.

Find LCM of 867,384,488,539 with Prime Factorization


2 867, 384, 488, 539
2 867, 192, 244, 539
2 867, 96, 122, 539
3 867, 48, 61, 539
289, 16, 61, 539

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

2 x 2 x 2 x 3 x 289 x 16 x 61 x 539 = 3648779904

Therefore, the lowest common multiple of 867,384,488,539 is 3648779904.

LCM Formula to Find Lowest Common Multiple of 867,384,488,539

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.

867 x 384 x 488 x 539 = 87570717696

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.

867 : 1, 3, 17, 51, 289, 867

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

488 : 1, 2, 4, 8, 61, 122, 244, 488

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,384,488,539, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

384:2x 2x 2x 2x 2x 2x 2x 3

488:2x 2x 2x 61

539:7x 7x 11

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 87570717696/(1x24)

LCM = 87570717696/24

LCM = 3648779904

Thus, we can understand that the LCM of 867,384,488,539 is 3648779904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 384, 488, 539

1. What is the LCM of 867, 384, 488, 539?

Answer: LCM of 867, 384, 488, 539 is 3648779904.

2. How to calculate the LCM of 867, 384, 488, 539?

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 867, 384, 488, 539.

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}.