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 300, 989, 727, 691, 558

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


Find the LCM of 300, 989, 727, 691, 558 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 300, 989, 727, 691, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,989,727,691,558

Given numbers are 300,989,727,691,558

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

The LCM of 300,989,727,691,558 is 13861586936700.

Find LCM of 300,989,727,691,558 with Prime Factorization


2 300, 989, 727, 691, 558
3 150, 989, 727, 691, 279
50, 989, 727, 691, 93

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

2 x 3 x 50 x 989 x 727 x 691 x 93 = 13861586936700

Therefore, the lowest common multiple of 300,989,727,691,558 is 13861586936700.

LCM Formula to Find Lowest Common Multiple of 300,989,727,691,558

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.

300 x 989 x 727 x 691 x 558 = 83169521620200

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

989 : 1, 23, 43, 989

727 : 1, 727

691 : 1, 691

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,989,727,691,558, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

989:23x 43

727:727

691:691

558:2x 3x 3x 31

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 = 83169521620200/(1x6)

LCM = 83169521620200/6

LCM = 13861586936700

Thus, we can understand that the LCM of 300,989,727,691,558 is 13861586936700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 989, 727, 691, 558

1. What is the LCM of 300, 989, 727, 691, 558?

Answer: LCM of 300, 989, 727, 691, 558 is 13861586936700.

2. How to calculate the LCM of 300, 989, 727, 691, 558?

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 300, 989, 727, 691, 558.

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}.