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LCM of 187, 915, 689, 572

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


Find the LCM of 187, 915, 689, 572 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, 915, 689, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,915,689,572

Given numbers are 187,915,689,572

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

The LCM of 187,915,689,572 is 471565380.

Find LCM of 187,915,689,572 with Prime Factorization


11 187, 915, 689, 572
13 17, 915, 689, 52
17, 915, 53, 4

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

11 x 13 x 17 x 915 x 53 x 4 = 471565380

Therefore, the lowest common multiple of 187,915,689,572 is 471565380.

LCM Formula to Find Lowest Common Multiple of 187,915,689,572

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 915 x 689 x 572 = 67433849340

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

915 : 1, 3, 5, 15, 61, 183, 305, 915

689 : 1, 13, 53, 689

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,915,689,572, is 1.

Now, the common factors can be found like this.

187:11x 17

915:3x 5x 61

689:13x 53

572:2x 2x 11x 13

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 67433849340/(1x143)

LCM = 67433849340/143

LCM = 471565380

Thus, we can understand that the LCM of 187,915,689,572 is 471565380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 915, 689, 572

1. What is the LCM of 187, 915, 689, 572?

Answer: LCM of 187, 915, 689, 572 is 471565380.

2. How to calculate the LCM of 187, 915, 689, 572?

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, 915, 689, 572.

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}.