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LCM of 862, 250, 675, 452

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


Find the LCM of 862, 250, 675, 452 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 862, 250, 675, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,250,675,452

Given numbers are 862,250,675,452

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

The LCM of 862,250,675,452 is 657490500.

Find LCM of 862,250,675,452 with Prime Factorization


2 862, 250, 675, 452
5 431, 125, 675, 226
5 431, 25, 135, 226
431, 5, 27, 226

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

2 x 5 x 5 x 431 x 5 x 27 x 226 = 657490500

Therefore, the lowest common multiple of 862,250,675,452 is 657490500.

LCM Formula to Find Lowest Common Multiple of 862,250,675,452

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.

862 x 250 x 675 x 452 = 65749050000

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.

862 : 1, 2, 431, 862

250 : 1, 2, 5, 10, 25, 50, 125, 250

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,250,675,452, is 1.

Now, the common factors can be found like this.

862:2x 431

250:2x 5x 5x 5

675:3x 3x 3x 5x 5

452:2x 2x 113

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 65749050000/(1x100)

LCM = 65749050000/100

LCM = 657490500

Thus, we can understand that the LCM of 862,250,675,452 is 657490500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 250, 675, 452

1. What is the LCM of 862, 250, 675, 452?

Answer: LCM of 862, 250, 675, 452 is 657490500.

2. How to calculate the LCM of 862, 250, 675, 452?

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 862, 250, 675, 452.

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}.