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LCM of 648, 923, 604, 927

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


Find the LCM of 648, 923, 604, 927 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 648, 923, 604, 927. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,923,604,927

Given numbers are 648,923,604,927

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

The LCM of 648,923,604,927 is 9302311512.

Find LCM of 648,923,604,927 with Prime Factorization


2 648, 923, 604, 927
2 324, 923, 302, 927
3 162, 923, 151, 927
3 54, 923, 151, 309
18, 923, 151, 103

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

2 x 2 x 3 x 3 x 18 x 923 x 151 x 103 = 9302311512

Therefore, the lowest common multiple of 648,923,604,927 is 9302311512.

LCM Formula to Find Lowest Common Multiple of 648,923,604,927

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.

648 x 923 x 604 x 927 = 334883214432

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

923 : 1, 13, 71, 923

604 : 1, 2, 4, 151, 302, 604

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,923,604,927, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

923:13x 71

604:2x 2x 151

927:3x 3x 103

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 334883214432/(1x36)

LCM = 334883214432/36

LCM = 9302311512

Thus, we can understand that the LCM of 648,923,604,927 is 9302311512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 923, 604, 927

1. What is the LCM of 648, 923, 604, 927?

Answer: LCM of 648, 923, 604, 927 is 9302311512.

2. How to calculate the LCM of 648, 923, 604, 927?

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 648, 923, 604, 927.

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}.