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LCM of 241, 611, 715, 768

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


Find the LCM of 241, 611, 715, 768 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, 611, 715, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,611,715,768

Given numbers are 241,611,715,768

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

The LCM of 241,611,715,768 is 6219882240.

Find LCM of 241,611,715,768 with Prime Factorization


13 241, 611, 715, 768
241, 47, 55, 768

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

13 x 241 x 47 x 55 x 768 = 6219882240

Therefore, the lowest common multiple of 241,611,715,768 is 6219882240.

LCM Formula to Find Lowest Common Multiple of 241,611,715,768

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 611 x 715 x 768 = 80858469120

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

611 : 1, 13, 47, 611

715 : 1, 5, 11, 13, 55, 65, 143, 715

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,611,715,768, is 1.

Now, the common factors can be found like this.

241:241

611:13x 47

715:5x 11x 13

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

13 = 13

Therefore, the value for common factors is 13.

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 = 80858469120/(1x13)

LCM = 80858469120/13

LCM = 6219882240

Thus, we can understand that the LCM of 241,611,715,768 is 6219882240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 611, 715, 768

1. What is the LCM of 241, 611, 715, 768?

Answer: LCM of 241, 611, 715, 768 is 6219882240.

2. How to calculate the LCM of 241, 611, 715, 768?

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, 611, 715, 768.

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}.