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 722, 394, 985, 406

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


Find the LCM of 722, 394, 985, 406 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 722, 394, 985, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,394,985,406

Given numbers are 722,394,985,406

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

The LCM of 722,394,985,406 is 144367510.

Find LCM of 722,394,985,406 with Prime Factorization


2 722, 394, 985, 406
197 361, 197, 985, 203
361, 1, 5, 203

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

2 x 197 x 361 x 1 x 5 x 203 = 144367510

Therefore, the lowest common multiple of 722,394,985,406 is 144367510.

LCM Formula to Find Lowest Common Multiple of 722,394,985,406

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.

722 x 394 x 985 x 406 = 113761597880

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.

722 : 1, 2, 19, 38, 361, 722

394 : 1, 2, 197, 394

985 : 1, 5, 197, 985

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,394,985,406, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

394:2x 197

985:5x 197

406:2x 7x 29

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 197 = 788

Therefore, the value for common factors is 788.

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 = 113761597880/(1x788)

LCM = 113761597880/788

LCM = 144367510

Thus, we can understand that the LCM of 722,394,985,406 is 144367510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 394, 985, 406

1. What is the LCM of 722, 394, 985, 406?

Answer: LCM of 722, 394, 985, 406 is 144367510.

2. How to calculate the LCM of 722, 394, 985, 406?

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 722, 394, 985, 406.

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}.