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LCM of 582, 769, 769, 328

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


Find the LCM of 582, 769, 769, 328 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 582, 769, 769, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,769,769,328

Given numbers are 582,769,769,328

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

The LCM of 582,769,769,328 is 73399512.

Find LCM of 582,769,769,328 with Prime Factorization


2 582, 769, 769, 328
769 291, 769, 769, 164
291, 1, 1, 164

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

2 x 769 x 291 x 1 x 1 x 164 = 73399512

Therefore, the lowest common multiple of 582,769,769,328 is 73399512.

LCM Formula to Find Lowest Common Multiple of 582,769,769,328

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.

582 x 769 x 769 x 328 = 112888449456

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

769 : 1, 769

769 : 1, 769

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,769,769,328, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

769:769

769:769

328:2x 2x 2x 41

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

2x 769 = 1538

Therefore, the value for common factors is 1538.

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 = 112888449456/(1x1538)

LCM = 112888449456/1538

LCM = 73399512

Thus, we can understand that the LCM of 582,769,769,328 is 73399512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 769, 769, 328

1. What is the LCM of 582, 769, 769, 328?

Answer: LCM of 582, 769, 769, 328 is 73399512.

2. How to calculate the LCM of 582, 769, 769, 328?

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 582, 769, 769, 328.

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}.