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 324, 961, 132, 341

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


Find the LCM of 324, 961, 132, 341 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 324, 961, 132, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 324,961,132,341

Given numbers are 324,961,132,341

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

The LCM of 324,961,132,341 is 3425004.

Find LCM of 324,961,132,341 with Prime Factorization


2 324, 961, 132, 341
2 162, 961, 66, 341
3 81, 961, 33, 341
11 27, 961, 11, 341
31 27, 961, 1, 31
27, 1, 1, 31

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

2 x 2 x 3 x 11 x 31 x 27 x 1 x 1 x 31 = 3425004

Therefore, the lowest common multiple of 324,961,132,341 is 3425004.

LCM Formula to Find Lowest Common Multiple of 324,961,132,341

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.

324 x 961 x 132 x 341 = 14015116368

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

961 : 1, 31, 961

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,961,132,341, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

961:31x 31

132:2x 2x 3x 11

341:11x 31

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 3x 11x 31 = 4092

Therefore, the value for common factors is 4092.

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 = 14015116368/(1x4092)

LCM = 14015116368/4092

LCM = 3425004

Thus, we can understand that the LCM of 324,961,132,341 is 3425004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 324, 961, 132, 341

1. What is the LCM of 324, 961, 132, 341?

Answer: LCM of 324, 961, 132, 341 is 3425004.

2. How to calculate the LCM of 324, 961, 132, 341?

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 324, 961, 132, 341.

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}.