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LCM of 187, 349, 111, 522

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


Find the LCM of 187, 349, 111, 522 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, 349, 111, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,349,111,522

Given numbers are 187,349,111,522

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

The LCM of 187,349,111,522 is 1260489582.

Find LCM of 187,349,111,522 with Prime Factorization


3 187, 349, 111, 522
187, 349, 37, 174

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

3 x 187 x 349 x 37 x 174 = 1260489582

Therefore, the lowest common multiple of 187,349,111,522 is 1260489582.

LCM Formula to Find Lowest Common Multiple of 187,349,111,522

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 349 x 111 x 522 = 3781468746

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

349 : 1, 349

111 : 1, 3, 37, 111

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,349,111,522, is 1.

Now, the common factors can be found like this.

187:11x 17

349:349

111:3x 37

522:2x 3x 3x 29

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

3 = 3

Therefore, the value for common factors is 3.

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 = 3781468746/(1x3)

LCM = 3781468746/3

LCM = 1260489582

Thus, we can understand that the LCM of 187,349,111,522 is 1260489582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 349, 111, 522

1. What is the LCM of 187, 349, 111, 522?

Answer: LCM of 187, 349, 111, 522 is 1260489582.

2. How to calculate the LCM of 187, 349, 111, 522?

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, 349, 111, 522.

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}.