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 446, 138, 194, 804, 335

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


Find the LCM of 446, 138, 194, 804, 335 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 446, 138, 194, 804, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,138,194,804,335

Given numbers are 446,138,194,804,335

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

The LCM of 446,138,194,804,335 is 2000002260.

Find LCM of 446,138,194,804,335 with Prime Factorization


2 446, 138, 194, 804, 335
3 223, 69, 97, 402, 335
67 223, 23, 97, 134, 335
223, 23, 97, 2, 5

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

2 x 3 x 67 x 223 x 23 x 97 x 2 x 5 = 2000002260

Therefore, the lowest common multiple of 446,138,194,804,335 is 2000002260.

LCM Formula to Find Lowest Common Multiple of 446,138,194,804,335

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.

446 x 138 x 194 x 804 x 335 = 3216003634080

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.

446 : 1, 2, 223, 446

138 : 1, 2, 3, 6, 23, 46, 69, 138

194 : 1, 2, 97, 194

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,138,194,804,335, is 1.

Now, the common factors can be found like this.

446:2x 223

138:2x 3x 23

194:2x 97

804:2x 2x 3x 67

335:5x 67

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

2x 2x 2x 3x 67 = 1608

Therefore, the value for common factors is 1608.

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 = 3216003634080/(1x1608)

LCM = 3216003634080/1608

LCM = 2000002260

Thus, we can understand that the LCM of 446,138,194,804,335 is 2000002260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 138, 194, 804, 335

1. What is the LCM of 446, 138, 194, 804, 335?

Answer: LCM of 446, 138, 194, 804, 335 is 2000002260.

2. How to calculate the LCM of 446, 138, 194, 804, 335?

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 446, 138, 194, 804, 335.

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}.