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 814, 933, 878, 421, 164

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


Find the LCM of 814, 933, 878, 421, 164 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 814, 933, 878, 421, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,933,878,421,164

Given numbers are 814,933,878,421,164

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

The LCM of 814,933,878,421,164 is 11509766604996.

Find LCM of 814,933,878,421,164 with Prime Factorization


2 814, 933, 878, 421, 164
407, 933, 439, 421, 82

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

2 x 407 x 933 x 439 x 421 x 82 = 11509766604996

Therefore, the lowest common multiple of 814,933,878,421,164 is 11509766604996.

LCM Formula to Find Lowest Common Multiple of 814,933,878,421,164

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.

814 x 933 x 878 x 421 x 164 = 46039066419984

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

933 : 1, 3, 311, 933

878 : 1, 2, 439, 878

421 : 1, 421

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,933,878,421,164, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

933:3x 311

878:2x 439

421:421

164:2x 2x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 46039066419984/(1x4)

LCM = 46039066419984/4

LCM = 11509766604996

Thus, we can understand that the LCM of 814,933,878,421,164 is 11509766604996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 933, 878, 421, 164

1. What is the LCM of 814, 933, 878, 421, 164?

Answer: LCM of 814, 933, 878, 421, 164 is 11509766604996.

2. How to calculate the LCM of 814, 933, 878, 421, 164?

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 814, 933, 878, 421, 164.

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}.