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LCM of 529, 450, 191, 775, 300

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


Find the LCM of 529, 450, 191, 775, 300 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 529, 450, 191, 775, 300. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,450,191,775,300

Given numbers are 529,450,191,775,300

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

The LCM of 529,450,191,775,300 is 2818988100.

Find LCM of 529,450,191,775,300 with Prime Factorization


2 529, 450, 191, 775, 300
3 529, 225, 191, 775, 150
5 529, 75, 191, 775, 50
5 529, 15, 191, 155, 10
529, 3, 191, 31, 2

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

2 x 3 x 5 x 5 x 529 x 3 x 191 x 31 x 2 = 2818988100

Therefore, the lowest common multiple of 529,450,191,775,300 is 2818988100.

LCM Formula to Find Lowest Common Multiple of 529,450,191,775,300

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.

529 x 450 x 191 x 775 x 300 = 10571205375000

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.

529 : 1, 23, 529

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

191 : 1, 191

775 : 1, 5, 25, 31, 155, 775

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,450,191,775,300, is 1.

Now, the common factors can be found like this.

529:23x 23

450:2x 3x 3x 5x 5

191:191

775:5x 5x 31

300:2x 2x 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 3x 5x 5x 5x 5 = 3750

Therefore, the value for common factors is 3750.

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 = 10571205375000/(1x3750)

LCM = 10571205375000/3750

LCM = 2818988100

Thus, we can understand that the LCM of 529,450,191,775,300 is 2818988100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 450, 191, 775, 300

1. What is the LCM of 529, 450, 191, 775, 300?

Answer: LCM of 529, 450, 191, 775, 300 is 2818988100.

2. How to calculate the LCM of 529, 450, 191, 775, 300?

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 529, 450, 191, 775, 300.

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}.