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 830, 406, 203, 435, 427

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


Find the LCM of 830, 406, 203, 435, 427 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 830, 406, 203, 435, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,406,203,435,427

Given numbers are 830,406,203,435,427

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

The LCM of 830,406,203,435,427 is 30833670.

Find LCM of 830,406,203,435,427 with Prime Factorization


2 830, 406, 203, 435, 427
5 415, 203, 203, 435, 427
7 83, 203, 203, 87, 427
29 83, 29, 29, 87, 61
83, 1, 1, 3, 61

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

2 x 5 x 7 x 29 x 83 x 1 x 1 x 3 x 61 = 30833670

Therefore, the lowest common multiple of 830,406,203,435,427 is 30833670.

LCM Formula to Find Lowest Common Multiple of 830,406,203,435,427

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.

830 x 406 x 203 x 435 x 427 = 12706247070300

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

203 : 1, 7, 29, 203

435 : 1, 3, 5, 15, 29, 87, 145, 435

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,406,203,435,427, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

406:2x 7x 29

203:7x 29

435:3x 5x 29

427:7x 61

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

2x 5x 7x 7x 29x 29 = 412090

Therefore, the value for common factors is 412090.

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 = 12706247070300/(1x412090)

LCM = 12706247070300/412090

LCM = 30833670

Thus, we can understand that the LCM of 830,406,203,435,427 is 30833670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 406, 203, 435, 427

1. What is the LCM of 830, 406, 203, 435, 427?

Answer: LCM of 830, 406, 203, 435, 427 is 30833670.

2. How to calculate the LCM of 830, 406, 203, 435, 427?

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 830, 406, 203, 435, 427.

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}.