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 407, 398, 199, 133

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


Find the LCM of 407, 398, 199, 133 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 407, 398, 199, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,398,199,133

Given numbers are 407,398,199,133

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

The LCM of 407,398,199,133 is 21544138.

Find LCM of 407,398,199,133 with Prime Factorization


199 407, 398, 199, 133
407, 2, 1, 133

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

199 x 407 x 2 x 1 x 133 = 21544138

Therefore, the lowest common multiple of 407,398,199,133 is 21544138.

LCM Formula to Find Lowest Common Multiple of 407,398,199,133

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.

407 x 398 x 199 x 133 = 4287283462

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.

407 : 1, 11, 37, 407

398 : 1, 2, 199, 398

199 : 1, 199

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,398,199,133, is 1.

Now, the common factors can be found like this.

407:11x 37

398:2x 199

199:199

133:7x 19

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

199 = 199

Therefore, the value for common factors is 199.

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 = 4287283462/(1x199)

LCM = 4287283462/199

LCM = 21544138

Thus, we can understand that the LCM of 407,398,199,133 is 21544138.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 398, 199, 133

1. What is the LCM of 407, 398, 199, 133?

Answer: LCM of 407, 398, 199, 133 is 21544138.

2. How to calculate the LCM of 407, 398, 199, 133?

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 407, 398, 199, 133.

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}.