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 481, 418, 946, 360

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


Find the LCM of 481, 418, 946, 360 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 481, 418, 946, 360. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,418,946,360

Given numbers are 481,418,946,360

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

The LCM of 481,418,946,360 is 1556188920.

Find LCM of 481,418,946,360 with Prime Factorization


2 481, 418, 946, 360
11 481, 209, 473, 180
481, 19, 43, 180

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

2 x 11 x 481 x 19 x 43 x 180 = 1556188920

Therefore, the lowest common multiple of 481,418,946,360 is 1556188920.

LCM Formula to Find Lowest Common Multiple of 481,418,946,360

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.

481 x 418 x 946 x 360 = 68472312480

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.

481 : 1, 13, 37, 481

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,418,946,360, is 1.

Now, the common factors can be found like this.

481:13x 37

418:2x 11x 19

946:2x 11x 43

360:2x 2x 2x 3x 3x 5

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 11 = 44

Therefore, the value for common factors is 44.

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 = 68472312480/(1x44)

LCM = 68472312480/44

LCM = 1556188920

Thus, we can understand that the LCM of 481,418,946,360 is 1556188920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 418, 946, 360

1. What is the LCM of 481, 418, 946, 360?

Answer: LCM of 481, 418, 946, 360 is 1556188920.

2. How to calculate the LCM of 481, 418, 946, 360?

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 481, 418, 946, 360.

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}.