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LCM of 187, 510, 515, 618

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


Find the LCM of 187, 510, 515, 618 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, 510, 515, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,510,515,618

Given numbers are 187,510,515,618

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

The LCM of 187,510,515,618 is 577830.

Find LCM of 187,510,515,618 with Prime Factorization


2 187, 510, 515, 618
3 187, 255, 515, 309
5 187, 85, 515, 103
17 187, 17, 103, 103
103 11, 1, 103, 103
11, 1, 1, 1

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

2 x 3 x 5 x 17 x 103 x 11 x 1 x 1 x 1 = 577830

Therefore, the lowest common multiple of 187,510,515,618 is 577830.

LCM Formula to Find Lowest Common Multiple of 187,510,515,618

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 510 x 515 x 618 = 30353409900

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

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

515 : 1, 5, 103, 515

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,510,515,618, is 1.

Now, the common factors can be found like this.

187:11x 17

510:2x 3x 5x 17

515:5x 103

618:2x 3x 103

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

2x 3x 5x 17x 103 = 52530

Therefore, the value for common factors is 52530.

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 = 30353409900/(1x52530)

LCM = 30353409900/52530

LCM = 577830

Thus, we can understand that the LCM of 187,510,515,618 is 577830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 510, 515, 618

1. What is the LCM of 187, 510, 515, 618?

Answer: LCM of 187, 510, 515, 618 is 577830.

2. How to calculate the LCM of 187, 510, 515, 618?

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, 510, 515, 618.

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}.