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 418, 466, 985, 642

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


Find the LCM of 418, 466, 985, 642 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 418, 466, 985, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,466,985,642

Given numbers are 418,466,985,642

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

The LCM of 418,466,985,642 is 30794521890.

Find LCM of 418,466,985,642 with Prime Factorization


2 418, 466, 985, 642
209, 233, 985, 321

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

2 x 209 x 233 x 985 x 321 = 30794521890

Therefore, the lowest common multiple of 418,466,985,642 is 30794521890.

LCM Formula to Find Lowest Common Multiple of 418,466,985,642

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.

418 x 466 x 985 x 642 = 123178087560

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

466 : 1, 2, 233, 466

985 : 1, 5, 197, 985

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,466,985,642, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

466:2x 233

985:5x 197

642:2x 3x 107

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 = 123178087560/(1x4)

LCM = 123178087560/4

LCM = 30794521890

Thus, we can understand that the LCM of 418,466,985,642 is 30794521890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 466, 985, 642

1. What is the LCM of 418, 466, 985, 642?

Answer: LCM of 418, 466, 985, 642 is 30794521890.

2. How to calculate the LCM of 418, 466, 985, 642?

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 418, 466, 985, 642.

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}.