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 366, 244, 958, 460

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


Find the LCM of 366, 244, 958, 460 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 366, 244, 958, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 366,244,958,460

Given numbers are 366,244,958,460

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

The LCM of 366,244,958,460 is 40322220.

Find LCM of 366,244,958,460 with Prime Factorization


2 366, 244, 958, 460
2 183, 122, 479, 230
61 183, 61, 479, 115
3, 1, 479, 115

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

2 x 2 x 61 x 3 x 1 x 479 x 115 = 40322220

Therefore, the lowest common multiple of 366,244,958,460 is 40322220.

LCM Formula to Find Lowest Common Multiple of 366,244,958,460

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.

366 x 244 x 958 x 460 = 39354486720

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

244 : 1, 2, 4, 61, 122, 244

958 : 1, 2, 479, 958

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,244,958,460, is 2.

Now, the common factors can be found like this.

366:2x 3x 61

244:2x 2x 61

958:2x 479

460:2x 2x 5x 23

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 61 = 488

Therefore, the value for common factors is 488.

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 = 39354486720/(2x488)

LCM = 39354486720/976

LCM = 40322220

Thus, we can understand that the LCM of 366,244,958,460 is 40322220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 366, 244, 958, 460

1. What is the LCM of 366, 244, 958, 460?

Answer: LCM of 366, 244, 958, 460 is 40322220.

2. How to calculate the LCM of 366, 244, 958, 460?

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 366, 244, 958, 460.

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}.