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 732, 727, 470, 441, 147

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


Find the LCM of 732, 727, 470, 441, 147 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 732, 727, 470, 441, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,727,470,441,147

Given numbers are 732,727,470,441,147

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

The LCM of 732,727,470,441,147 is 18383605380.

Find LCM of 732,727,470,441,147 with Prime Factorization


2 732, 727, 470, 441, 147
3 366, 727, 235, 441, 147
7 122, 727, 235, 49, 147
7 122, 727, 235, 7, 21
122, 727, 235, 1, 3

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

2 x 3 x 7 x 7 x 122 x 727 x 235 x 1 x 3 = 18383605380

Therefore, the lowest common multiple of 732,727,470,441,147 is 18383605380.

LCM Formula to Find Lowest Common Multiple of 732,727,470,441,147

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.

732 x 727 x 470 x 441 x 147 = 16214339945160

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

727 : 1, 727

470 : 1, 2, 5, 10, 47, 94, 235, 470

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,727,470,441,147, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

727:727

470:2x 5x 47

441:3x 3x 7x 7

147:3x 7x 7

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

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 16214339945160/(1x882)

LCM = 16214339945160/882

LCM = 18383605380

Thus, we can understand that the LCM of 732,727,470,441,147 is 18383605380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 727, 470, 441, 147

1. What is the LCM of 732, 727, 470, 441, 147?

Answer: LCM of 732, 727, 470, 441, 147 is 18383605380.

2. How to calculate the LCM of 732, 727, 470, 441, 147?

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 732, 727, 470, 441, 147.

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}.