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 381, 654, 669, 351

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


Find the LCM of 381, 654, 669, 351 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 381, 654, 669, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,654,669,351

Given numbers are 381,654,669,351

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

The LCM of 381,654,669,351 is 2167066278.

Find LCM of 381,654,669,351 with Prime Factorization


3 381, 654, 669, 351
127, 218, 223, 117

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

3 x 127 x 218 x 223 x 117 = 2167066278

Therefore, the lowest common multiple of 381,654,669,351 is 2167066278.

LCM Formula to Find Lowest Common Multiple of 381,654,669,351

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.

381 x 654 x 669 x 351 = 58510789506

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.

381 : 1, 3, 127, 381

654 : 1, 2, 3, 6, 109, 218, 327, 654

669 : 1, 3, 223, 669

351 : 1, 3, 9, 13, 27, 39, 117, 351

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,654,669,351, is 3.

Now, the common factors can be found like this.

381:3x 127

654:2x 3x 109

669:3x 223

351:3x 3x 3x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 58510789506/(3x9)

LCM = 58510789506/27

LCM = 2167066278

Thus, we can understand that the LCM of 381,654,669,351 is 2167066278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 654, 669, 351

1. What is the LCM of 381, 654, 669, 351?

Answer: LCM of 381, 654, 669, 351 is 2167066278.

2. How to calculate the LCM of 381, 654, 669, 351?

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 381, 654, 669, 351.

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}.