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 265, 172, 240, 375, 482

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


Find the LCM of 265, 172, 240, 375, 482 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 265, 172, 240, 375, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,172,240,375,482

Given numbers are 265,172,240,375,482

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

The LCM of 265,172,240,375,482 is 3295434000.

Find LCM of 265,172,240,375,482 with Prime Factorization


2 265, 172, 240, 375, 482
2 265, 86, 120, 375, 241
3 265, 43, 60, 375, 241
5 265, 43, 20, 125, 241
53, 43, 4, 25, 241

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

2 x 2 x 3 x 5 x 53 x 43 x 4 x 25 x 241 = 3295434000

Therefore, the lowest common multiple of 265,172,240,375,482 is 3295434000.

LCM Formula to Find Lowest Common Multiple of 265,172,240,375,482

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.

265 x 172 x 240 x 375 x 482 = 1977260400000

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.

265 : 1, 5, 53, 265

172 : 1, 2, 4, 43, 86, 172

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

375 : 1, 3, 5, 15, 25, 75, 125, 375

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,172,240,375,482, is 1.

Now, the common factors can be found like this.

265:5x 53

172:2x 2x 43

240:2x 2x 2x 2x 3x 5

375:3x 5x 5x 5

482:2x 241

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 1977260400000/(1x600)

LCM = 1977260400000/600

LCM = 3295434000

Thus, we can understand that the LCM of 265,172,240,375,482 is 3295434000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 172, 240, 375, 482

1. What is the LCM of 265, 172, 240, 375, 482?

Answer: LCM of 265, 172, 240, 375, 482 is 3295434000.

2. How to calculate the LCM of 265, 172, 240, 375, 482?

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 265, 172, 240, 375, 482.

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}.