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 201, 417, 278, 183, 575

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


Find the LCM of 201, 417, 278, 183, 575 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 201, 417, 278, 183, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,417,278,183,575

Given numbers are 201,417,278,183,575

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

The LCM of 201,417,278,183,575 is 1959920850.

Find LCM of 201,417,278,183,575 with Prime Factorization


3 201, 417, 278, 183, 575
139 67, 139, 278, 61, 575
67, 1, 2, 61, 575

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

3 x 139 x 67 x 1 x 2 x 61 x 575 = 1959920850

Therefore, the lowest common multiple of 201,417,278,183,575 is 1959920850.

LCM Formula to Find Lowest Common Multiple of 201,417,278,183,575

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.

201 x 417 x 278 x 183 x 575 = 2451860983350

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.

201 : 1, 3, 67, 201

417 : 1, 3, 139, 417

278 : 1, 2, 139, 278

183 : 1, 3, 61, 183

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,417,278,183,575, is 1.

Now, the common factors can be found like this.

201:3x 67

417:3x 139

278:2x 139

183:3x 61

575:5x 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.

3x 3x 139 = 1251

Therefore, the value for common factors is 1251.

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 = 2451860983350/(1x1251)

LCM = 2451860983350/1251

LCM = 1959920850

Thus, we can understand that the LCM of 201,417,278,183,575 is 1959920850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 417, 278, 183, 575

1. What is the LCM of 201, 417, 278, 183, 575?

Answer: LCM of 201, 417, 278, 183, 575 is 1959920850.

2. How to calculate the LCM of 201, 417, 278, 183, 575?

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 201, 417, 278, 183, 575.

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}.