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LCM of 187, 441, 204, 664, 780

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


Find the LCM of 187, 441, 204, 664, 780 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, 441, 204, 664, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,441,204,664,780

Given numbers are 187,441,204,664,780

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

The LCM of 187,441,204,664,780 is 3559275720.

Find LCM of 187,441,204,664,780 with Prime Factorization


2 187, 441, 204, 664, 780
2 187, 441, 102, 332, 390
3 187, 441, 51, 166, 195
17 187, 147, 17, 166, 65
11, 147, 1, 166, 65

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

2 x 2 x 3 x 17 x 11 x 147 x 1 x 166 x 65 = 3559275720

Therefore, the lowest common multiple of 187,441,204,664,780 is 3559275720.

LCM Formula to Find Lowest Common Multiple of 187,441,204,664,780

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 441 x 204 x 664 x 780 = 8713106962560

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

664 : 1, 2, 4, 8, 83, 166, 332, 664

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,441,204,664,780, is 1.

Now, the common factors can be found like this.

187:11x 17

441:3x 3x 7x 7

204:2x 2x 3x 17

664:2x 2x 2x 83

780:2x 2x 3x 5x 13

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

2x 2x 2x 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 8713106962560/(1x2448)

LCM = 8713106962560/2448

LCM = 3559275720

Thus, we can understand that the LCM of 187,441,204,664,780 is 3559275720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 441, 204, 664, 780

1. What is the LCM of 187, 441, 204, 664, 780?

Answer: LCM of 187, 441, 204, 664, 780 is 3559275720.

2. How to calculate the LCM of 187, 441, 204, 664, 780?

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, 441, 204, 664, 780.

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}.