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 803, 176, 121, 418

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


Find the LCM of 803, 176, 121, 418 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 803, 176, 121, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,176,121,418

Given numbers are 803,176,121,418

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

The LCM of 803,176,121,418 is 2685232.

Find LCM of 803,176,121,418 with Prime Factorization


2 803, 176, 121, 418
11 803, 88, 121, 209
73, 8, 11, 19

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

2 x 11 x 73 x 8 x 11 x 19 = 2685232

Therefore, the lowest common multiple of 803,176,121,418 is 2685232.

LCM Formula to Find Lowest Common Multiple of 803,176,121,418

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.

803 x 176 x 121 x 418 = 7148087584

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.

803 : 1, 11, 73, 803

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

121 : 1, 11, 121

418 : 1, 2, 11, 19, 22, 38, 209, 418

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,176,121,418, is 11.

Now, the common factors can be found like this.

803:11x 73

176:2x 2x 2x 2x 11

121:11x 11

418:2x 11x 19

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 7148087584/(11x242)

LCM = 7148087584/2662

LCM = 2685232

Thus, we can understand that the LCM of 803,176,121,418 is 2685232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 176, 121, 418

1. What is the LCM of 803, 176, 121, 418?

Answer: LCM of 803, 176, 121, 418 is 2685232.

2. How to calculate the LCM of 803, 176, 121, 418?

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 803, 176, 121, 418.

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}.