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LCM of 564, 705, 925, 927, 133

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


Find the LCM of 564, 705, 925, 927, 133 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 564, 705, 925, 927, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,705,925,927,133

Given numbers are 564,705,925,927,133

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

The LCM of 564,705,925,927,133 is 21440304900.

Find LCM of 564,705,925,927,133 with Prime Factorization


3 564, 705, 925, 927, 133
5 188, 235, 925, 309, 133
47 188, 47, 185, 309, 133
4, 1, 185, 309, 133

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

3 x 5 x 47 x 4 x 1 x 185 x 309 x 133 = 21440304900

Therefore, the lowest common multiple of 564,705,925,927,133 is 21440304900.

LCM Formula to Find Lowest Common Multiple of 564,705,925,927,133

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.

564 x 705 x 925 x 927 x 133 = 45346244863500

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

705 : 1, 3, 5, 15, 47, 141, 235, 705

925 : 1, 5, 25, 37, 185, 925

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

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,705,925,927,133, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

705:3x 5x 47

925:5x 5x 37

927:3x 3x 103

133:7x 19

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

3x 3x 5x 47 = 2115

Therefore, the value for common factors is 2115.

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 = 45346244863500/(1x2115)

LCM = 45346244863500/2115

LCM = 21440304900

Thus, we can understand that the LCM of 564,705,925,927,133 is 21440304900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 705, 925, 927, 133

1. What is the LCM of 564, 705, 925, 927, 133?

Answer: LCM of 564, 705, 925, 927, 133 is 21440304900.

2. How to calculate the LCM of 564, 705, 925, 927, 133?

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 564, 705, 925, 927, 133.

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}.