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 232, 728, 836, 533

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


Find the LCM of 232, 728, 836, 533 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 232, 728, 836, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,728,836,533

Given numbers are 232,728,836,533

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

The LCM of 232,728,836,533 is 180908728.

Find LCM of 232,728,836,533 with Prime Factorization


2 232, 728, 836, 533
2 116, 364, 418, 533
2 58, 182, 209, 533
13 29, 91, 209, 533
29, 7, 209, 41

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

2 x 2 x 2 x 13 x 29 x 7 x 209 x 41 = 180908728

Therefore, the lowest common multiple of 232,728,836,533 is 180908728.

LCM Formula to Find Lowest Common Multiple of 232,728,836,533

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.

232 x 728 x 836 x 533 = 75258030848

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,728,836,533, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

728:2x 2x 2x 7x 13

836:2x 2x 11x 19

533:13x 41

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 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 75258030848/(1x416)

LCM = 75258030848/416

LCM = 180908728

Thus, we can understand that the LCM of 232,728,836,533 is 180908728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 728, 836, 533

1. What is the LCM of 232, 728, 836, 533?

Answer: LCM of 232, 728, 836, 533 is 180908728.

2. How to calculate the LCM of 232, 728, 836, 533?

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 232, 728, 836, 533.

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}.