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LCM of 423, 450, 668, 894, 804

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


Find the LCM of 423, 450, 668, 894, 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 423, 450, 668, 894, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,450,668,894,804

Given numbers are 423,450,668,894,804

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

The LCM of 423,450,668,894,804 is 70520910300.

Find LCM of 423,450,668,894,804 with Prime Factorization


2 423, 450, 668, 894, 804
2 423, 225, 334, 447, 402
3 423, 225, 167, 447, 201
3 141, 75, 167, 149, 67
47, 25, 167, 149, 67

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

2 x 2 x 3 x 3 x 47 x 25 x 167 x 149 x 67 = 70520910300

Therefore, the lowest common multiple of 423,450,668,894,804 is 70520910300.

LCM Formula to Find Lowest Common Multiple of 423,450,668,894,804

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.

423 x 450 x 668 x 894 x 804 = 91395099748800

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.

423 : 1, 3, 9, 47, 141, 423

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

668 : 1, 2, 4, 167, 334, 668

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,450,668,894,804, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

450:2x 3x 3x 5x 5

668:2x 2x 167

894:2x 3x 149

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.

2x 2x 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 91395099748800/(1x1296)

LCM = 91395099748800/1296

LCM = 70520910300

Thus, we can understand that the LCM of 423,450,668,894,804 is 70520910300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 450, 668, 894, 804

1. What is the LCM of 423, 450, 668, 894, 804?

Answer: LCM of 423, 450, 668, 894, 804 is 70520910300.

2. How to calculate the LCM of 423, 450, 668, 894, 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 423, 450, 668, 894, 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}.