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LCM of 187, 435, 858, 871

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


Find the LCM of 187, 435, 858, 871 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, 435, 858, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,435,858,871

Given numbers are 187,435,858,871

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

The LCM of 187,435,858,871 is 141702990.

Find LCM of 187,435,858,871 with Prime Factorization


3 187, 435, 858, 871
11 187, 145, 286, 871
13 17, 145, 26, 871
17, 145, 2, 67

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

3 x 11 x 13 x 17 x 145 x 2 x 67 = 141702990

Therefore, the lowest common multiple of 187,435,858,871 is 141702990.

LCM Formula to Find Lowest Common Multiple of 187,435,858,871

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 435 x 858 x 871 = 60790582710

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,435,858,871, is 1.

Now, the common factors can be found like this.

187:11x 17

435:3x 5x 29

858:2x 3x 11x 13

871:13x 67

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

3x 11x 13 = 429

Therefore, the value for common factors is 429.

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 = 60790582710/(1x429)

LCM = 60790582710/429

LCM = 141702990

Thus, we can understand that the LCM of 187,435,858,871 is 141702990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 435, 858, 871

1. What is the LCM of 187, 435, 858, 871?

Answer: LCM of 187, 435, 858, 871 is 141702990.

2. How to calculate the LCM of 187, 435, 858, 871?

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, 435, 858, 871.

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}.