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LCM of 845, 388, 927, 657

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


Find the LCM of 845, 388, 927, 657 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 845, 388, 927, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,388,927,657

Given numbers are 845,388,927,657

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

The LCM of 845,388,927,657 is 22186614060.

Find LCM of 845,388,927,657 with Prime Factorization


3 845, 388, 927, 657
3 845, 388, 309, 219
845, 388, 103, 73

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

3 x 3 x 845 x 388 x 103 x 73 = 22186614060

Therefore, the lowest common multiple of 845,388,927,657 is 22186614060.

LCM Formula to Find Lowest Common Multiple of 845,388,927,657

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.

845 x 388 x 927 x 657 = 199679526540

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.

845 : 1, 5, 13, 65, 169, 845

388 : 1, 2, 4, 97, 194, 388

927 : 1, 3, 9, 103, 309, 927

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,388,927,657, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

388:2x 2x 97

927:3x 3x 103

657:3x 3x 73

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 199679526540/(1x9)

LCM = 199679526540/9

LCM = 22186614060

Thus, we can understand that the LCM of 845,388,927,657 is 22186614060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 388, 927, 657

1. What is the LCM of 845, 388, 927, 657?

Answer: LCM of 845, 388, 927, 657 is 22186614060.

2. How to calculate the LCM of 845, 388, 927, 657?

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 845, 388, 927, 657.

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}.