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 228, 549, 287, 713, 943

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


Find the LCM of 228, 549, 287, 713, 943 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 228, 549, 287, 713, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 228,549,287,713,943

Given numbers are 228,549,287,713,943

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

The LCM of 228,549,287,713,943 is 8538023844.

Find LCM of 228,549,287,713,943 with Prime Factorization


3 228, 549, 287, 713, 943
23 76, 183, 287, 713, 943
41 76, 183, 287, 31, 41
76, 183, 7, 31, 1

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

3 x 23 x 41 x 76 x 183 x 7 x 31 x 1 = 8538023844

Therefore, the lowest common multiple of 228,549,287,713,943 is 8538023844.

LCM Formula to Find Lowest Common Multiple of 228,549,287,713,943

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.

228 x 549 x 287 x 713 x 943 = 24154069454676

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

549 : 1, 3, 9, 61, 183, 549

287 : 1, 7, 41, 287

713 : 1, 23, 31, 713

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,549,287,713,943, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

549:3x 3x 61

287:7x 41

713:23x 31

943:23x 41

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

3x 23x 41 = 2829

Therefore, the value for common factors is 2829.

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 = 24154069454676/(1x2829)

LCM = 24154069454676/2829

LCM = 8538023844

Thus, we can understand that the LCM of 228,549,287,713,943 is 8538023844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 228, 549, 287, 713, 943

1. What is the LCM of 228, 549, 287, 713, 943?

Answer: LCM of 228, 549, 287, 713, 943 is 8538023844.

2. How to calculate the LCM of 228, 549, 287, 713, 943?

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 228, 549, 287, 713, 943.

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}.