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 901, 934, 218, 342

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


Find the LCM of 901, 934, 218, 342 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 901, 934, 218, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,934,218,342

Given numbers are 901,934,218,342

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

The LCM of 901,934,218,342 is 15685352226.

Find LCM of 901,934,218,342 with Prime Factorization


2 901, 934, 218, 342
901, 467, 109, 171

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

2 x 901 x 467 x 109 x 171 = 15685352226

Therefore, the lowest common multiple of 901,934,218,342 is 15685352226.

LCM Formula to Find Lowest Common Multiple of 901,934,218,342

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.

901 x 934 x 218 x 342 = 62741408904

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.

901 : 1, 17, 53, 901

934 : 1, 2, 467, 934

218 : 1, 2, 109, 218

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,934,218,342, is 1.

Now, the common factors can be found like this.

901:17x 53

934:2x 467

218:2x 109

342:2x 3x 3x 19

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 = 62741408904/(1x4)

LCM = 62741408904/4

LCM = 15685352226

Thus, we can understand that the LCM of 901,934,218,342 is 15685352226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 934, 218, 342

1. What is the LCM of 901, 934, 218, 342?

Answer: LCM of 901, 934, 218, 342 is 15685352226.

2. How to calculate the LCM of 901, 934, 218, 342?

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 901, 934, 218, 342.

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}.