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LCM of 622, 500, 618, 975

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


Find the LCM of 622, 500, 618, 975 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 622, 500, 618, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,500,618,975

Given numbers are 622,500,618,975

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

The LCM of 622,500,618,975 is 624643500.

Find LCM of 622,500,618,975 with Prime Factorization


2 622, 500, 618, 975
3 311, 250, 309, 975
5 311, 250, 103, 325
5 311, 50, 103, 65
311, 10, 103, 13

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

2 x 3 x 5 x 5 x 311 x 10 x 103 x 13 = 624643500

Therefore, the lowest common multiple of 622,500,618,975 is 624643500.

LCM Formula to Find Lowest Common Multiple of 622,500,618,975

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.

622 x 500 x 618 x 975 = 187393050000

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.

622 : 1, 2, 311, 622

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

618 : 1, 2, 3, 6, 103, 206, 309, 618

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,500,618,975, is 1.

Now, the common factors can be found like this.

622:2x 311

500:2x 2x 5x 5x 5

618:2x 3x 103

975:3x 5x 5x 13

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 187393050000/(1x300)

LCM = 187393050000/300

LCM = 624643500

Thus, we can understand that the LCM of 622,500,618,975 is 624643500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 500, 618, 975

1. What is the LCM of 622, 500, 618, 975?

Answer: LCM of 622, 500, 618, 975 is 624643500.

2. How to calculate the LCM of 622, 500, 618, 975?

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 622, 500, 618, 975.

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}.