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 406, 199, 667, 736

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


Find the LCM of 406, 199, 667, 736 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 406, 199, 667, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,199,667,736

Given numbers are 406,199,667,736

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

The LCM of 406,199,667,736 is 29732192.

Find LCM of 406,199,667,736 with Prime Factorization


2 406, 199, 667, 736
23 203, 199, 667, 368
29 203, 199, 29, 16
7, 199, 1, 16

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

2 x 23 x 29 x 7 x 199 x 1 x 16 = 29732192

Therefore, the lowest common multiple of 406,199,667,736 is 29732192.

LCM Formula to Find Lowest Common Multiple of 406,199,667,736

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.

406 x 199 x 667 x 736 = 39662744128

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.

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

199 : 1, 199

667 : 1, 23, 29, 667

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,199,667,736, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

199:199

667:23x 29

736:2x 2x 2x 2x 2x 23

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

2x 23x 29 = 1334

Therefore, the value for common factors is 1334.

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 = 39662744128/(1x1334)

LCM = 39662744128/1334

LCM = 29732192

Thus, we can understand that the LCM of 406,199,667,736 is 29732192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 199, 667, 736

1. What is the LCM of 406, 199, 667, 736?

Answer: LCM of 406, 199, 667, 736 is 29732192.

2. How to calculate the LCM of 406, 199, 667, 736?

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 406, 199, 667, 736.

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}.