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LCM of 625, 887, 562, 966

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


Find the LCM of 625, 887, 562, 966 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 625, 887, 562, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,887,562,966

Given numbers are 625,887,562,966

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

The LCM of 625,887,562,966 is 150482876250.

Find LCM of 625,887,562,966 with Prime Factorization


2 625, 887, 562, 966
625, 887, 281, 483

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

2 x 625 x 887 x 281 x 483 = 150482876250

Therefore, the lowest common multiple of 625,887,562,966 is 150482876250.

LCM Formula to Find Lowest Common Multiple of 625,887,562,966

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.

625 x 887 x 562 x 966 = 300965752500

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.

625 : 1, 5, 25, 125, 625

887 : 1, 887

562 : 1, 2, 281, 562

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,887,562,966, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

887:887

562:2x 281

966:2x 3x 7x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 300965752500/(1x2)

LCM = 300965752500/2

LCM = 150482876250

Thus, we can understand that the LCM of 625,887,562,966 is 150482876250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 887, 562, 966

1. What is the LCM of 625, 887, 562, 966?

Answer: LCM of 625, 887, 562, 966 is 150482876250.

2. How to calculate the LCM of 625, 887, 562, 966?

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 625, 887, 562, 966.

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}.