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 723, 543, 554, 716, 180

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


Find the LCM of 723, 543, 554, 716, 180 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 723, 543, 554, 716, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,543,554,716,180

Given numbers are 723,543,554,716,180

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

The LCM of 723,543,554,716,180 is 389314807740.

Find LCM of 723,543,554,716,180 with Prime Factorization


2 723, 543, 554, 716, 180
2 723, 543, 277, 358, 90
3 723, 543, 277, 179, 45
241, 181, 277, 179, 15

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

2 x 2 x 3 x 241 x 181 x 277 x 179 x 15 = 389314807740

Therefore, the lowest common multiple of 723,543,554,716,180 is 389314807740.

LCM Formula to Find Lowest Common Multiple of 723,543,554,716,180

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.

723 x 543 x 554 x 716 x 180 = 28030666157280

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.

723 : 1, 3, 241, 723

543 : 1, 3, 181, 543

554 : 1, 2, 277, 554

716 : 1, 2, 4, 179, 358, 716

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,543,554,716,180, is 1.

Now, the common factors can be found like this.

723:3x 241

543:3x 181

554:2x 277

716:2x 2x 179

180:2x 2x 3x 3x 5

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 28030666157280/(1x72)

LCM = 28030666157280/72

LCM = 389314807740

Thus, we can understand that the LCM of 723,543,554,716,180 is 389314807740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 543, 554, 716, 180

1. What is the LCM of 723, 543, 554, 716, 180?

Answer: LCM of 723, 543, 554, 716, 180 is 389314807740.

2. How to calculate the LCM of 723, 543, 554, 716, 180?

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 723, 543, 554, 716, 180.

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}.