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LCM of 864, 868, 306, 539

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


Find the LCM of 864, 868, 306, 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 864, 868, 306, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,868,306,539

Given numbers are 864,868,306,539

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

The LCM of 864,868,306,539 is 245421792.

Find LCM of 864,868,306,539 with Prime Factorization


2 864, 868, 306, 539
2 432, 434, 153, 539
3 216, 217, 153, 539
3 72, 217, 51, 539
7 24, 217, 17, 539
24, 31, 17, 77

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

2 x 2 x 3 x 3 x 7 x 24 x 31 x 17 x 77 = 245421792

Therefore, the lowest common multiple of 864,868,306,539 is 245421792.

LCM Formula to Find Lowest Common Multiple of 864,868,306,539

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.

864 x 868 x 306 x 539 = 123692583168

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.

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 864,868,306,539, is 1.

Now, the common factors can be found like this.

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

868:2x 2x 7x 31

306:2x 3x 3x 17

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 123692583168/(1x504)

LCM = 123692583168/504

LCM = 245421792

Thus, we can understand that the LCM of 864,868,306,539 is 245421792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 868, 306, 539

1. What is the LCM of 864, 868, 306, 539?

Answer: LCM of 864, 868, 306, 539 is 245421792.

2. How to calculate the LCM of 864, 868, 306, 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 864, 868, 306, 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}.