LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 229, 100, 823, 622, 823

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


Find the LCM of 229, 100, 823, 622, 823 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 229, 100, 823, 622, 823. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,100,823,622,823

Given numbers are 229,100,823,622,823

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

The LCM of 229,100,823,622,823 is 5861323700.

Find LCM of 229,100,823,622,823 with Prime Factorization


2 229, 100, 823, 622, 823
823 229, 50, 823, 311, 823
229, 50, 1, 311, 1

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

2 x 823 x 229 x 50 x 1 x 311 x 1 = 5861323700

Therefore, the lowest common multiple of 229,100,823,622,823 is 5861323700.

LCM Formula to Find Lowest Common Multiple of 229,100,823,622,823

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.

229 x 100 x 823 x 622 x 823 = 9647738810200

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.

229 : 1, 229

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

823 : 1, 823

622 : 1, 2, 311, 622

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,100,823,622,823, is 1.

Now, the common factors can be found like this.

229:229

100:2x 2x 5x 5

823:823

622:2x 311

823:823

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

2x 823 = 1646

Therefore, the value for common factors is 1646.

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 = 9647738810200/(1x1646)

LCM = 9647738810200/1646

LCM = 5861323700

Thus, we can understand that the LCM of 229,100,823,622,823 is 5861323700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 100, 823, 622, 823

1. What is the LCM of 229, 100, 823, 622, 823?

Answer: LCM of 229, 100, 823, 622, 823 is 5861323700.

2. How to calculate the LCM of 229, 100, 823, 622, 823?

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 229, 100, 823, 622, 823.

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}.