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LCM of 382, 769, 849, 769

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


Find the LCM of 382, 769, 849, 769 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 382, 769, 849, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,769,849,769

Given numbers are 382,769,849,769

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

The LCM of 382,769,849,769 is 249400542.

Find LCM of 382,769,849,769 with Prime Factorization


769 382, 769, 849, 769
382, 1, 849, 1

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

769 x 382 x 1 x 849 x 1 = 249400542

Therefore, the lowest common multiple of 382,769,849,769 is 249400542.

LCM Formula to Find Lowest Common Multiple of 382,769,849,769

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.

382 x 769 x 849 x 769 = 191789016798

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.

382 : 1, 2, 191, 382

769 : 1, 769

849 : 1, 3, 283, 849

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,769,849,769, is 1.

Now, the common factors can be found like this.

382:2x 191

769:769

849:3x 283

769:769

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

769 = 769

Therefore, the value for common factors is 769.

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 = 191789016798/(1x769)

LCM = 191789016798/769

LCM = 249400542

Thus, we can understand that the LCM of 382,769,849,769 is 249400542.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 769, 849, 769

1. What is the LCM of 382, 769, 849, 769?

Answer: LCM of 382, 769, 849, 769 is 249400542.

2. How to calculate the LCM of 382, 769, 849, 769?

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 382, 769, 849, 769.

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}.