LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 330, 712, 178, 271

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


Find the LCM of 330, 712, 178, 271 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 330, 712, 178, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,712,178,271

Given numbers are 330,712,178,271

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

The LCM of 330,712,178,271 is 31837080.

Find LCM of 330,712,178,271 with Prime Factorization


2 330, 712, 178, 271
89 165, 356, 89, 271
165, 4, 1, 271

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

2 x 89 x 165 x 4 x 1 x 271 = 31837080

Therefore, the lowest common multiple of 330,712,178,271 is 31837080.

LCM Formula to Find Lowest Common Multiple of 330,712,178,271

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.

330 x 712 x 178 x 271 = 11334000480

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.

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

178 : 1, 2, 89, 178

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,712,178,271, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

712:2x 2x 2x 89

178:2x 89

271:271

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 89 = 356

Therefore, the value for common factors is 356.

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 = 11334000480/(1x356)

LCM = 11334000480/356

LCM = 31837080

Thus, we can understand that the LCM of 330,712,178,271 is 31837080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 712, 178, 271

1. What is the LCM of 330, 712, 178, 271?

Answer: LCM of 330, 712, 178, 271 is 31837080.

2. How to calculate the LCM of 330, 712, 178, 271?

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 330, 712, 178, 271.

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}.