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LCM of 538, 143, 365, 912

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


Find the LCM of 538, 143, 365, 912 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, 143, 365, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,143,365,912

Given numbers are 538,143,365,912

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

The LCM of 538,143,365,912 is 12804894960.

Find LCM of 538,143,365,912 with Prime Factorization


2 538, 143, 365, 912
269, 143, 365, 456

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

2 x 269 x 143 x 365 x 456 = 12804894960

Therefore, the lowest common multiple of 538,143,365,912 is 12804894960.

LCM Formula to Find Lowest Common Multiple of 538,143,365,912

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 143 x 365 x 912 = 25609789920

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

143 : 1, 11, 13, 143

365 : 1, 5, 73, 365

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,143,365,912, is 1.

Now, the common factors can be found like this.

538:2x 269

143:11x 13

365:5x 73

912:2x 2x 2x 2x 3x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25609789920/(1x2)

LCM = 25609789920/2

LCM = 12804894960

Thus, we can understand that the LCM of 538,143,365,912 is 12804894960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 143, 365, 912

1. What is the LCM of 538, 143, 365, 912?

Answer: LCM of 538, 143, 365, 912 is 12804894960.

2. How to calculate the LCM of 538, 143, 365, 912?

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, 143, 365, 912.

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}.