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 531, 696, 264, 232

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


Find the LCM of 531, 696, 264, 232 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 531, 696, 264, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,696,264,232

Given numbers are 531,696,264,232

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

The LCM of 531,696,264,232 is 1355112.

Find LCM of 531,696,264,232 with Prime Factorization


2 531, 696, 264, 232
2 531, 348, 132, 116
2 531, 174, 66, 58
3 531, 87, 33, 29
29 177, 29, 11, 29
177, 1, 11, 1

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

2 x 2 x 2 x 3 x 29 x 177 x 1 x 11 x 1 = 1355112

Therefore, the lowest common multiple of 531,696,264,232 is 1355112.

LCM Formula to Find Lowest Common Multiple of 531,696,264,232

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.

531 x 696 x 264 x 232 = 22635790848

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.

531 : 1, 3, 9, 59, 177, 531

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,696,264,232, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

696:2x 2x 2x 3x 29

264:2x 2x 2x 3x 11

232:2x 2x 2x 29

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 2x 3x 3x 29 = 16704

Therefore, the value for common factors is 16704.

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 = 22635790848/(1x16704)

LCM = 22635790848/16704

LCM = 1355112

Thus, we can understand that the LCM of 531,696,264,232 is 1355112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 696, 264, 232

1. What is the LCM of 531, 696, 264, 232?

Answer: LCM of 531, 696, 264, 232 is 1355112.

2. How to calculate the LCM of 531, 696, 264, 232?

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 531, 696, 264, 232.

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}.