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 467, 218, 366, 272

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


Find the LCM of 467, 218, 366, 272 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 467, 218, 366, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,218,366,272

Given numbers are 467,218,366,272

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

The LCM of 467,218,366,272 is 2533747728.

Find LCM of 467,218,366,272 with Prime Factorization


2 467, 218, 366, 272
467, 109, 183, 136

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

2 x 467 x 109 x 183 x 136 = 2533747728

Therefore, the lowest common multiple of 467,218,366,272 is 2533747728.

LCM Formula to Find Lowest Common Multiple of 467,218,366,272

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.

467 x 218 x 366 x 272 = 10134990912

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.

467 : 1, 467

218 : 1, 2, 109, 218

366 : 1, 2, 3, 6, 61, 122, 183, 366

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,218,366,272, is 1.

Now, the common factors can be found like this.

467:467

218:2x 109

366:2x 3x 61

272:2x 2x 2x 2x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10134990912/(1x4)

LCM = 10134990912/4

LCM = 2533747728

Thus, we can understand that the LCM of 467,218,366,272 is 2533747728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 218, 366, 272

1. What is the LCM of 467, 218, 366, 272?

Answer: LCM of 467, 218, 366, 272 is 2533747728.

2. How to calculate the LCM of 467, 218, 366, 272?

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 467, 218, 366, 272.

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}.