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 322, 762, 455, 542

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


Find the LCM of 322, 762, 455, 542 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 322, 762, 455, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,762,455,542

Given numbers are 322,762,455,542

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

The LCM of 322,762,455,542 is 2161043430.

Find LCM of 322,762,455,542 with Prime Factorization


2 322, 762, 455, 542
7 161, 381, 455, 271
23, 381, 65, 271

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

2 x 7 x 23 x 381 x 65 x 271 = 2161043430

Therefore, the lowest common multiple of 322,762,455,542 is 2161043430.

LCM Formula to Find Lowest Common Multiple of 322,762,455,542

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.

322 x 762 x 455 x 542 = 60509216040

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

762 : 1, 2, 3, 6, 127, 254, 381, 762

455 : 1, 5, 7, 13, 35, 65, 91, 455

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,762,455,542, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

762:2x 3x 127

455:5x 7x 13

542:2x 271

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 7 = 28

Therefore, the value for common factors is 28.

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 = 60509216040/(1x28)

LCM = 60509216040/28

LCM = 2161043430

Thus, we can understand that the LCM of 322,762,455,542 is 2161043430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 762, 455, 542

1. What is the LCM of 322, 762, 455, 542?

Answer: LCM of 322, 762, 455, 542 is 2161043430.

2. How to calculate the LCM of 322, 762, 455, 542?

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 322, 762, 455, 542.

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}.