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LCM of 927, 869, 561, 276, 584

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


Find the LCM of 927, 869, 561, 276, 584 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 927, 869, 561, 276, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,869,561,276,584

Given numbers are 927,869,561,276,584

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

The LCM of 927,869,561,276,584 is 183945477672.

Find LCM of 927,869,561,276,584 with Prime Factorization


2 927, 869, 561, 276, 584
2 927, 869, 561, 138, 292
3 927, 869, 561, 69, 146
11 309, 869, 187, 23, 146
309, 79, 17, 23, 146

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

2 x 2 x 3 x 11 x 309 x 79 x 17 x 23 x 146 = 183945477672

Therefore, the lowest common multiple of 927,869,561,276,584 is 183945477672.

LCM Formula to Find Lowest Common Multiple of 927,869,561,276,584

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.

927 x 869 x 561 x 276 x 584 = 72842409158112

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.

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

869 : 1, 11, 79, 869

561 : 1, 3, 11, 17, 33, 51, 187, 561

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,869,561,276,584, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

869:11x 79

561:3x 11x 17

276:2x 2x 3x 23

584:2x 2x 2x 73

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 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 72842409158112/(1x396)

LCM = 72842409158112/396

LCM = 183945477672

Thus, we can understand that the LCM of 927,869,561,276,584 is 183945477672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 869, 561, 276, 584

1. What is the LCM of 927, 869, 561, 276, 584?

Answer: LCM of 927, 869, 561, 276, 584 is 183945477672.

2. How to calculate the LCM of 927, 869, 561, 276, 584?

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 927, 869, 561, 276, 584.

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}.