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LCM of 241, 102, 768, 768

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


Find the LCM of 241, 102, 768, 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, 102, 768, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,102,768,768

Given numbers are 241,102,768,768

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

The LCM of 241,102,768,768 is 3146496.

Find LCM of 241,102,768,768 with Prime Factorization


2 241, 102, 768, 768
2 241, 51, 384, 384
2 241, 51, 192, 192
2 241, 51, 96, 96
2 241, 51, 48, 48
2 241, 51, 24, 24
2 241, 51, 12, 12
2 241, 51, 6, 6
3 241, 51, 3, 3
241, 17, 1, 1

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 241 x 17 x 1 x 1 = 3146496

Therefore, the lowest common multiple of 241,102,768,768 is 3146496.

LCM Formula to Find Lowest Common Multiple of 241,102,768,768

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 102 x 768 x 768 = 14499053568

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

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 241,102,768,768, is 1.

Now, the common factors can be found like this.

241:241

102:2x 3x 17

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

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.

2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 3 = 4608

Therefore, the value for common factors is 4608.

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 = 14499053568/(1x4608)

LCM = 14499053568/4608

LCM = 3146496

Thus, we can understand that the LCM of 241,102,768,768 is 3146496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 102, 768, 768

1. What is the LCM of 241, 102, 768, 768?

Answer: LCM of 241, 102, 768, 768 is 3146496.

2. How to calculate the LCM of 241, 102, 768, 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, 102, 768, 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}.