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LCM of 782, 422, 804

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


Find the LCM of 782, 422, 804 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 782, 422, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,422,804

Given numbers are 782,422,804

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

The LCM of 782,422,804 is 66330804.

Find LCM of 782,422,804 with Prime Factorization


2 782, 422, 804
391, 211, 402

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

2 x 391 x 211 x 402 = 66330804

Therefore, the lowest common multiple of 782,422,804 is 66330804.

LCM Formula to Find Lowest Common Multiple of 782,422,804

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.

782 x 422 x 804 = 265323216

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

422 : 1, 2, 211, 422

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,422,804, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

422:2x 211

804:2x 2x 3x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 265323216/(2x2)

LCM = 265323216/4

LCM = 66330804

Thus, we can understand that the LCM of 782,422,804 is 66330804.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 782, 422, 804

1. What is the LCM of 782, 422, 804?

Answer: LCM of 782, 422, 804 is 66330804.

2. How to calculate the LCM of 782, 422, 804?

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 782, 422, 804.

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}.