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LCM of 469, 400, 561, 782

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


Find the LCM of 469, 400, 561, 782 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 469, 400, 561, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,400,561,782

Given numbers are 469,400,561,782

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

The LCM of 469,400,561,782 is 2420602800.

Find LCM of 469,400,561,782 with Prime Factorization


2 469, 400, 561, 782
17 469, 200, 561, 391
469, 200, 33, 23

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

2 x 17 x 469 x 200 x 33 x 23 = 2420602800

Therefore, the lowest common multiple of 469,400,561,782 is 2420602800.

LCM Formula to Find Lowest Common Multiple of 469,400,561,782

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.

469 x 400 x 561 x 782 = 82300495200

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.

469 : 1, 7, 67, 469

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,400,561,782, is 1.

Now, the common factors can be found like this.

469:7x 67

400:2x 2x 2x 2x 5x 5

561:3x 11x 17

782:2x 17x 23

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 82300495200/(1x34)

LCM = 82300495200/34

LCM = 2420602800

Thus, we can understand that the LCM of 469,400,561,782 is 2420602800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 400, 561, 782

1. What is the LCM of 469, 400, 561, 782?

Answer: LCM of 469, 400, 561, 782 is 2420602800.

2. How to calculate the LCM of 469, 400, 561, 782?

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 469, 400, 561, 782.

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}.