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 132, 747, 296, 528

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


Find the LCM of 132, 747, 296, 528 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 132, 747, 296, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 132,747,296,528

Given numbers are 132,747,296,528

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

The LCM of 132,747,296,528 is 4864464.

Find LCM of 132,747,296,528 with Prime Factorization


2 132, 747, 296, 528
2 66, 747, 148, 264
2 33, 747, 74, 132
3 33, 747, 37, 66
11 11, 249, 37, 22
1, 249, 37, 2

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

2 x 2 x 2 x 3 x 11 x 1 x 249 x 37 x 2 = 4864464

Therefore, the lowest common multiple of 132,747,296,528 is 4864464.

LCM Formula to Find Lowest Common Multiple of 132,747,296,528

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.

132 x 747 x 296 x 528 = 15410621952

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

747 : 1, 3, 9, 83, 249, 747

296 : 1, 2, 4, 8, 37, 74, 148, 296

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,747,296,528, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

747:3x 3x 83

296:2x 2x 2x 37

528:2x 2x 2x 2x 3x 11

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 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 15410621952/(1x3168)

LCM = 15410621952/3168

LCM = 4864464

Thus, we can understand that the LCM of 132,747,296,528 is 4864464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 132, 747, 296, 528

1. What is the LCM of 132, 747, 296, 528?

Answer: LCM of 132, 747, 296, 528 is 4864464.

2. How to calculate the LCM of 132, 747, 296, 528?

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 132, 747, 296, 528.

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}.