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LCM of 494, 494, 401, 757, 768

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


Find the LCM of 494, 494, 401, 757, 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 494, 494, 401, 757, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,494,401,757,768

Given numbers are 494,494,401,757,768

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

The LCM of 494,494,401,757,768 is 57583548672.

Find LCM of 494,494,401,757,768 with Prime Factorization


2 494, 494, 401, 757, 768
13 247, 247, 401, 757, 384
19 19, 19, 401, 757, 384
1, 1, 401, 757, 384

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

2 x 13 x 19 x 1 x 1 x 401 x 757 x 384 = 57583548672

Therefore, the lowest common multiple of 494,494,401,757,768 is 57583548672.

LCM Formula to Find Lowest Common Multiple of 494,494,401,757,768

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.

494 x 494 x 401 x 757 x 768 = 56892546087936

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

494 : 1, 2, 13, 19, 26, 38, 247, 494

401 : 1, 401

757 : 1, 757

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 494,494,401,757,768, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

494:2x 13x 19

401:401

757:757

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 13x 19 = 988

Therefore, the value for common factors is 988.

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 = 56892546087936/(1x988)

LCM = 56892546087936/988

LCM = 57583548672

Thus, we can understand that the LCM of 494,494,401,757,768 is 57583548672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 494, 401, 757, 768

1. What is the LCM of 494, 494, 401, 757, 768?

Answer: LCM of 494, 494, 401, 757, 768 is 57583548672.

2. How to calculate the LCM of 494, 494, 401, 757, 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 494, 494, 401, 757, 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}.