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LCM of 880, 684, 125, 110, 566

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


Find the LCM of 880, 684, 125, 110, 566 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 880, 684, 125, 110, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,684,125,110,566

Given numbers are 880,684,125,110,566

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

The LCM of 880,684,125,110,566 is 1064646000.

Find LCM of 880,684,125,110,566 with Prime Factorization


2 880, 684, 125, 110, 566
2 440, 342, 125, 55, 283
5 220, 171, 125, 55, 283
11 44, 171, 25, 11, 283
4, 171, 25, 1, 283

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

2 x 2 x 5 x 11 x 4 x 171 x 25 x 1 x 283 = 1064646000

Therefore, the lowest common multiple of 880,684,125,110,566 is 1064646000.

LCM Formula to Find Lowest Common Multiple of 880,684,125,110,566

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.

880 x 684 x 125 x 110 x 566 = 4684442400000

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

125 : 1, 5, 25, 125

110 : 1, 2, 5, 10, 11, 22, 55, 110

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,684,125,110,566, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

684:2x 2x 3x 3x 19

125:5x 5x 5

110:2x 5x 11

566:2x 283

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 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 4684442400000/(1x4400)

LCM = 4684442400000/4400

LCM = 1064646000

Thus, we can understand that the LCM of 880,684,125,110,566 is 1064646000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 684, 125, 110, 566

1. What is the LCM of 880, 684, 125, 110, 566?

Answer: LCM of 880, 684, 125, 110, 566 is 1064646000.

2. How to calculate the LCM of 880, 684, 125, 110, 566?

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 880, 684, 125, 110, 566.

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}.