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 189, 813, 750, 596, 747

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


Find the LCM of 189, 813, 750, 596, 747 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 189, 813, 750, 596, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 189,813,750,596,747

Given numbers are 189,813,750,596,747

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

The LCM of 189,813,750,596,747 is 316712686500.

Find LCM of 189,813,750,596,747 with Prime Factorization


2 189, 813, 750, 596, 747
3 189, 813, 375, 298, 747
3 63, 271, 125, 298, 249
21, 271, 125, 298, 83

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

2 x 3 x 3 x 21 x 271 x 125 x 298 x 83 = 316712686500

Therefore, the lowest common multiple of 189,813,750,596,747 is 316712686500.

LCM Formula to Find Lowest Common Multiple of 189,813,750,596,747

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.

189 x 813 x 750 x 596 x 747 = 51307455213000

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

813 : 1, 3, 271, 813

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

596 : 1, 2, 4, 149, 298, 596

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,813,750,596,747, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

813:3x 271

750:2x 3x 5x 5x 5

596:2x 2x 149

747:3x 3x 83

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 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 51307455213000/(1x162)

LCM = 51307455213000/162

LCM = 316712686500

Thus, we can understand that the LCM of 189,813,750,596,747 is 316712686500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 189, 813, 750, 596, 747

1. What is the LCM of 189, 813, 750, 596, 747?

Answer: LCM of 189, 813, 750, 596, 747 is 316712686500.

2. How to calculate the LCM of 189, 813, 750, 596, 747?

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 189, 813, 750, 596, 747.

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}.