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LCM of 187, 574, 249, 136

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


Find the LCM of 187, 574, 249, 136 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, 574, 249, 136. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,574,249,136

Given numbers are 187,574,249,136

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

The LCM of 187,574,249,136 is 106908648.

Find LCM of 187,574,249,136 with Prime Factorization


2 187, 574, 249, 136
17 187, 287, 249, 68
11, 287, 249, 4

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

2 x 17 x 11 x 287 x 249 x 4 = 106908648

Therefore, the lowest common multiple of 187,574,249,136 is 106908648.

LCM Formula to Find Lowest Common Multiple of 187,574,249,136

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 574 x 249 x 136 = 3634894032

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

249 : 1, 3, 83, 249

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,574,249,136, is 1.

Now, the common factors can be found like this.

187:11x 17

574:2x 7x 41

249:3x 83

136:2x 2x 2x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 3634894032/(1x34)

LCM = 3634894032/34

LCM = 106908648

Thus, we can understand that the LCM of 187,574,249,136 is 106908648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 574, 249, 136

1. What is the LCM of 187, 574, 249, 136?

Answer: LCM of 187, 574, 249, 136 is 106908648.

2. How to calculate the LCM of 187, 574, 249, 136?

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, 574, 249, 136.

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}.