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LCM of 187, 105, 132, 561

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


Find the LCM of 187, 105, 132, 561 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 187, 105, 132, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,105,132,561

Given numbers are 187,105,132,561

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

The LCM of 187,105,132,561 is 78540.

Find LCM of 187,105,132,561 with Prime Factorization


3 187, 105, 132, 561
11 187, 35, 44, 187
17 17, 35, 4, 17
1, 35, 4, 1

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

3 x 11 x 17 x 1 x 35 x 4 x 1 = 78540

Therefore, the lowest common multiple of 187,105,132,561 is 78540.

LCM Formula to Find Lowest Common Multiple of 187,105,132,561

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.

187 x 105 x 132 x 561 = 1454011020

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.

187 : 1, 11, 17, 187

105 : 1, 3, 5, 7, 15, 21, 35, 105

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,105,132,561, is 1.

Now, the common factors can be found like this.

187:11x 17

105:3x 5x 7

132:2x 2x 3x 11

561:3x 11x 17

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 11x 11x 17 = 18513

Therefore, the value for common factors is 18513.

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 = 1454011020/(1x18513)

LCM = 1454011020/18513

LCM = 78540

Thus, we can understand that the LCM of 187,105,132,561 is 78540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 105, 132, 561

1. What is the LCM of 187, 105, 132, 561?

Answer: LCM of 187, 105, 132, 561 is 78540.

2. How to calculate the LCM of 187, 105, 132, 561?

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 187, 105, 132, 561.

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}.