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LCM of 420, 450, 824, 863, 400

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


Find the LCM of 420, 450, 824, 863, 400 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 420, 450, 824, 863, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,450,824,863,400

Given numbers are 420,450,824,863,400

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

The LCM of 420,450,824,863,400 is 2240002800.

Find LCM of 420,450,824,863,400 with Prime Factorization


2 420, 450, 824, 863, 400
2 210, 225, 412, 863, 200
2 105, 225, 206, 863, 100
3 105, 225, 103, 863, 50
5 35, 75, 103, 863, 50
5 7, 15, 103, 863, 10
7, 3, 103, 863, 2

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

2 x 2 x 2 x 3 x 5 x 5 x 7 x 3 x 103 x 863 x 2 = 2240002800

Therefore, the lowest common multiple of 420,450,824,863,400 is 2240002800.

LCM Formula to Find Lowest Common Multiple of 420,450,824,863,400

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.

420 x 450 x 824 x 863 x 400 = 53760067200000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

863 : 1, 863

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,450,824,863,400, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

450:2x 3x 3x 5x 5

824:2x 2x 2x 103

863:863

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

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 2x 2x 3x 5x 5x 5 = 24000

Therefore, the value for common factors is 24000.

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 = 53760067200000/(1x24000)

LCM = 53760067200000/24000

LCM = 2240002800

Thus, we can understand that the LCM of 420,450,824,863,400 is 2240002800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 450, 824, 863, 400

1. What is the LCM of 420, 450, 824, 863, 400?

Answer: LCM of 420, 450, 824, 863, 400 is 2240002800.

2. How to calculate the LCM of 420, 450, 824, 863, 400?

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 420, 450, 824, 863, 400.

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}.