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 444, 504, 412, 121

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


Find the LCM of 444, 504, 412, 121 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 444, 504, 412, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 444,504,412,121

Given numbers are 444,504,412,121

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

The LCM of 444,504,412,121 is 232410024.

Find LCM of 444,504,412,121 with Prime Factorization


2 444, 504, 412, 121
2 222, 252, 206, 121
3 111, 126, 103, 121
37, 42, 103, 121

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

2 x 2 x 3 x 37 x 42 x 103 x 121 = 232410024

Therefore, the lowest common multiple of 444,504,412,121 is 232410024.

LCM Formula to Find Lowest Common Multiple of 444,504,412,121

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.

444 x 504 x 412 x 121 = 11155681152

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

412 : 1, 2, 4, 103, 206, 412

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,504,412,121, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

504:2x 2x 2x 3x 3x 7

412:2x 2x 103

121:11x 11

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 11155681152/(1x48)

LCM = 11155681152/48

LCM = 232410024

Thus, we can understand that the LCM of 444,504,412,121 is 232410024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 444, 504, 412, 121

1. What is the LCM of 444, 504, 412, 121?

Answer: LCM of 444, 504, 412, 121 is 232410024.

2. How to calculate the LCM of 444, 504, 412, 121?

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 444, 504, 412, 121.

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}.