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LCM of 227, 770, 655, 330

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


Find the LCM of 227, 770, 655, 330 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 227, 770, 655, 330. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,770,655,330

Given numbers are 227,770,655,330

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

The LCM of 227,770,655,330 is 68692470.

Find LCM of 227,770,655,330 with Prime Factorization


2 227, 770, 655, 330
5 227, 385, 655, 165
11 227, 77, 131, 33
227, 7, 131, 3

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

2 x 5 x 11 x 227 x 7 x 131 x 3 = 68692470

Therefore, the lowest common multiple of 227,770,655,330 is 68692470.

LCM Formula to Find Lowest Common Multiple of 227,770,655,330

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.

227 x 770 x 655 x 330 = 37780858500

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.

227 : 1, 227

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

655 : 1, 5, 131, 655

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,770,655,330, is 1.

Now, the common factors can be found like this.

227:227

770:2x 5x 7x 11

655:5x 131

330:2x 3x 5x 11

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

2x 5x 5x 11 = 550

Therefore, the value for common factors is 550.

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 = 37780858500/(1x550)

LCM = 37780858500/550

LCM = 68692470

Thus, we can understand that the LCM of 227,770,655,330 is 68692470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 770, 655, 330

1. What is the LCM of 227, 770, 655, 330?

Answer: LCM of 227, 770, 655, 330 is 68692470.

2. How to calculate the LCM of 227, 770, 655, 330?

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 227, 770, 655, 330.

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}.