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LCM of 861, 664, 312, 450

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


Find the LCM of 861, 664, 312, 450 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 861, 664, 312, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,664,312,450

Given numbers are 861,664,312,450

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

The LCM of 861,664,312,450 is 557411400.

Find LCM of 861,664,312,450 with Prime Factorization


2 861, 664, 312, 450
2 861, 332, 156, 225
2 861, 166, 78, 225
3 861, 83, 39, 225
287, 83, 13, 75

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

2 x 2 x 2 x 3 x 287 x 83 x 13 x 75 = 557411400

Therefore, the lowest common multiple of 861,664,312,450 is 557411400.

LCM Formula to Find Lowest Common Multiple of 861,664,312,450

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.

861 x 664 x 312 x 450 = 80267241600

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

664 : 1, 2, 4, 8, 83, 166, 332, 664

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,664,312,450, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

664:2x 2x 2x 83

312:2x 2x 2x 3x 13

450:2x 3x 3x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 80267241600/(1x144)

LCM = 80267241600/144

LCM = 557411400

Thus, we can understand that the LCM of 861,664,312,450 is 557411400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 664, 312, 450

1. What is the LCM of 861, 664, 312, 450?

Answer: LCM of 861, 664, 312, 450 is 557411400.

2. How to calculate the LCM of 861, 664, 312, 450?

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 861, 664, 312, 450.

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}.