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LCM of 241, 628, 806, 404, 341

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


Find the LCM of 241, 628, 806, 404, 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 241, 628, 806, 404, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,628,806,404,341

Given numbers are 241,628,806,404,341

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

The LCM of 241,628,806,404,341 is 67763494084.

Find LCM of 241,628,806,404,341 with Prime Factorization


2 241, 628, 806, 404, 341
2 241, 314, 403, 202, 341
31 241, 157, 403, 101, 341
241, 157, 13, 101, 11

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

2 x 2 x 31 x 241 x 157 x 13 x 101 x 11 = 67763494084

Therefore, the lowest common multiple of 241,628,806,404,341 is 67763494084.

LCM Formula to Find Lowest Common Multiple of 241,628,806,404,341

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.

241 x 628 x 806 x 404 x 341 = 16805346532832

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

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

404 : 1, 2, 4, 101, 202, 404

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,628,806,404,341, is 1.

Now, the common factors can be found like this.

241:241

628:2x 2x 157

806:2x 13x 31

404:2x 2x 101

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 2x 31 = 248

Therefore, the value for common factors is 248.

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 = 16805346532832/(1x248)

LCM = 16805346532832/248

LCM = 67763494084

Thus, we can understand that the LCM of 241,628,806,404,341 is 67763494084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 628, 806, 404, 341

1. What is the LCM of 241, 628, 806, 404, 341?

Answer: LCM of 241, 628, 806, 404, 341 is 67763494084.

2. How to calculate the LCM of 241, 628, 806, 404, 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 241, 628, 806, 404, 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}.