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LCM of 880, 150, 270, 487

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


Find the LCM of 880, 150, 270, 487 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, 150, 270, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,150,270,487

Given numbers are 880,150,270,487

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

The LCM of 880,150,270,487 is 57855600.

Find LCM of 880,150,270,487 with Prime Factorization


2 880, 150, 270, 487
3 440, 75, 135, 487
5 440, 25, 45, 487
88, 5, 9, 487

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

2 x 3 x 5 x 88 x 5 x 9 x 487 = 57855600

Therefore, the lowest common multiple of 880,150,270,487 is 57855600.

LCM Formula to Find Lowest Common Multiple of 880,150,270,487

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 150 x 270 x 487 = 17356680000

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,150,270,487, is 1.

Now, the common factors can be found like this.

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

150:2x 3x 5x 5

270:2x 3x 3x 3x 5

487:487

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 17356680000/(1x300)

LCM = 17356680000/300

LCM = 57855600

Thus, we can understand that the LCM of 880,150,270,487 is 57855600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 150, 270, 487

1. What is the LCM of 880, 150, 270, 487?

Answer: LCM of 880, 150, 270, 487 is 57855600.

2. How to calculate the LCM of 880, 150, 270, 487?

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, 150, 270, 487.

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}.