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 241, 275, 952, 628

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


Find the LCM of 241, 275, 952, 628 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 241, 275, 952, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,275,952,628

Given numbers are 241,275,952,628

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

The LCM of 241,275,952,628 is 9905726600.

Find LCM of 241,275,952,628 with Prime Factorization


2 241, 275, 952, 628
2 241, 275, 476, 314
241, 275, 238, 157

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

2 x 2 x 241 x 275 x 238 x 157 = 9905726600

Therefore, the lowest common multiple of 241,275,952,628 is 9905726600.

LCM Formula to Find Lowest Common Multiple of 241,275,952,628

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.

241 x 275 x 952 x 628 = 39622906400

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.

241 : 1, 241

275 : 1, 5, 11, 25, 55, 275

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,275,952,628, is 1.

Now, the common factors can be found like this.

241:241

275:5x 5x 11

952:2x 2x 2x 7x 17

628:2x 2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39622906400/(1x4)

LCM = 39622906400/4

LCM = 9905726600

Thus, we can understand that the LCM of 241,275,952,628 is 9905726600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 275, 952, 628

1. What is the LCM of 241, 275, 952, 628?

Answer: LCM of 241, 275, 952, 628 is 9905726600.

2. How to calculate the LCM of 241, 275, 952, 628?

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 241, 275, 952, 628.

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}.