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LCM of 823, 437, 539, 918, 912

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


Find the LCM of 823, 437, 539, 918, 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 823, 437, 539, 918, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,437,539,918,912

Given numbers are 823,437,539,918,912

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

The LCM of 823,437,539,918,912 is 1423648272816.

Find LCM of 823,437,539,918,912 with Prime Factorization


2 823, 437, 539, 918, 912
3 823, 437, 539, 459, 456
19 823, 437, 539, 153, 152
823, 23, 539, 153, 8

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

2 x 3 x 19 x 823 x 23 x 539 x 153 x 8 = 1423648272816

Therefore, the lowest common multiple of 823,437,539,918,912 is 1423648272816.

LCM Formula to Find Lowest Common Multiple of 823,437,539,918,912

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.

823 x 437 x 539 x 918 x 912 = 162295903101024

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.

823 : 1, 823

437 : 1, 19, 23, 437

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 823,437,539,918,912, is 1.

Now, the common factors can be found like this.

823:823

437:19x 23

539:7x 7x 11

918:2x 3x 3x 3x 17

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.

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 162295903101024/(1x114)

LCM = 162295903101024/114

LCM = 1423648272816

Thus, we can understand that the LCM of 823,437,539,918,912 is 1423648272816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 437, 539, 918, 912

1. What is the LCM of 823, 437, 539, 918, 912?

Answer: LCM of 823, 437, 539, 918, 912 is 1423648272816.

2. How to calculate the LCM of 823, 437, 539, 918, 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 823, 437, 539, 918, 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}.