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 361, 284, 654, 377

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


Find the LCM of 361, 284, 654, 377 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 361, 284, 654, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,284,654,377

Given numbers are 361,284,654,377

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

The LCM of 361,284,654,377 is 12639056196.

Find LCM of 361,284,654,377 with Prime Factorization


2 361, 284, 654, 377
361, 142, 327, 377

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

2 x 361 x 142 x 327 x 377 = 12639056196

Therefore, the lowest common multiple of 361,284,654,377 is 12639056196.

LCM Formula to Find Lowest Common Multiple of 361,284,654,377

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.

361 x 284 x 654 x 377 = 25278112392

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.

361 : 1, 19, 361

284 : 1, 2, 4, 71, 142, 284

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

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,284,654,377, is 1.

Now, the common factors can be found like this.

361:19x 19

284:2x 2x 71

654:2x 3x 109

377:13x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25278112392/(1x2)

LCM = 25278112392/2

LCM = 12639056196

Thus, we can understand that the LCM of 361,284,654,377 is 12639056196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 284, 654, 377

1. What is the LCM of 361, 284, 654, 377?

Answer: LCM of 361, 284, 654, 377 is 12639056196.

2. How to calculate the LCM of 361, 284, 654, 377?

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 361, 284, 654, 377.

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}.