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 447, 429, 143, 745

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


Find the LCM of 447, 429, 143, 745 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 447, 429, 143, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,429,143,745

Given numbers are 447,429,143,745

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

The LCM of 447,429,143,745 is 319605.

Find LCM of 447,429,143,745 with Prime Factorization


3 447, 429, 143, 745
11 149, 143, 143, 745
13 149, 13, 13, 745
149 149, 1, 1, 745
1, 1, 1, 5

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

3 x 11 x 13 x 149 x 1 x 1 x 1 x 5 = 319605

Therefore, the lowest common multiple of 447,429,143,745 is 319605.

LCM Formula to Find Lowest Common Multiple of 447,429,143,745

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.

447 x 429 x 143 x 745 = 20429471205

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.

447 : 1, 3, 149, 447

429 : 1, 3, 11, 13, 33, 39, 143, 429

143 : 1, 11, 13, 143

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,429,143,745, is 1.

Now, the common factors can be found like this.

447:3x 149

429:3x 11x 13

143:11x 13

745:5x 149

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

3x 11x 13x 149 = 63921

Therefore, the value for common factors is 63921.

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 = 20429471205/(1x63921)

LCM = 20429471205/63921

LCM = 319605

Thus, we can understand that the LCM of 447,429,143,745 is 319605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 429, 143, 745

1. What is the LCM of 447, 429, 143, 745?

Answer: LCM of 447, 429, 143, 745 is 319605.

2. How to calculate the LCM of 447, 429, 143, 745?

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 447, 429, 143, 745.

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}.