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 726, 133, 411, 544

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


Find the LCM of 726, 133, 411, 544 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 726, 133, 411, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,133,411,544

Given numbers are 726,133,411,544

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

The LCM of 726,133,411,544 is 3598137312.

Find LCM of 726,133,411,544 with Prime Factorization


2 726, 133, 411, 544
3 363, 133, 411, 272
121, 133, 137, 272

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

2 x 3 x 121 x 133 x 137 x 272 = 3598137312

Therefore, the lowest common multiple of 726,133,411,544 is 3598137312.

LCM Formula to Find Lowest Common Multiple of 726,133,411,544

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.

726 x 133 x 411 x 544 = 21588823872

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

133 : 1, 7, 19, 133

411 : 1, 3, 137, 411

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,133,411,544, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

133:7x 19

411:3x 137

544:2x 2x 2x 2x 2x 17

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 21588823872/(1x6)

LCM = 21588823872/6

LCM = 3598137312

Thus, we can understand that the LCM of 726,133,411,544 is 3598137312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 133, 411, 544

1. What is the LCM of 726, 133, 411, 544?

Answer: LCM of 726, 133, 411, 544 is 3598137312.

2. How to calculate the LCM of 726, 133, 411, 544?

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 726, 133, 411, 544.

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}.