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LCM of 564, 814, 869, 869

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


Find the LCM of 564, 814, 869, 869 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 564, 814, 869, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,814,869,869

Given numbers are 564,814,869,869

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

The LCM of 564,814,869,869 is 18134292.

Find LCM of 564,814,869,869 with Prime Factorization


2 564, 814, 869, 869
11 282, 407, 869, 869
79 282, 37, 79, 79
282, 37, 1, 1

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

2 x 11 x 79 x 282 x 37 x 1 x 1 = 18134292

Therefore, the lowest common multiple of 564,814,869,869 is 18134292.

LCM Formula to Find Lowest Common Multiple of 564,814,869,869

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.

564 x 814 x 869 x 869 = 346691394456

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

814 : 1, 2, 11, 22, 37, 74, 407, 814

869 : 1, 11, 79, 869

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,814,869,869, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

814:2x 11x 37

869:11x 79

869:11x 79

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

2x 11x 11x 79 = 19118

Therefore, the value for common factors is 19118.

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 = 346691394456/(1x19118)

LCM = 346691394456/19118

LCM = 18134292

Thus, we can understand that the LCM of 564,814,869,869 is 18134292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 814, 869, 869

1. What is the LCM of 564, 814, 869, 869?

Answer: LCM of 564, 814, 869, 869 is 18134292.

2. How to calculate the LCM of 564, 814, 869, 869?

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 564, 814, 869, 869.

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}.