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 593, 690, 253, 198

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


Find the LCM of 593, 690, 253, 198 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 593, 690, 253, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 593,690,253,198

Given numbers are 593,690,253,198

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

The LCM of 593,690,253,198 is 13502610.

Find LCM of 593,690,253,198 with Prime Factorization


2 593, 690, 253, 198
3 593, 345, 253, 99
11 593, 115, 253, 33
23 593, 115, 23, 3
593, 5, 1, 3

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

2 x 3 x 11 x 23 x 593 x 5 x 1 x 3 = 13502610

Therefore, the lowest common multiple of 593,690,253,198 is 13502610.

LCM Formula to Find Lowest Common Multiple of 593,690,253,198

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.

593 x 690 x 253 x 198 = 20496961980

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.

593 : 1, 593

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

253 : 1, 11, 23, 253

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,690,253,198, is 1.

Now, the common factors can be found like this.

593:593

690:2x 3x 5x 23

253:11x 23

198:2x 3x 3x 11

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 11x 23 = 1518

Therefore, the value for common factors is 1518.

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 = 20496961980/(1x1518)

LCM = 20496961980/1518

LCM = 13502610

Thus, we can understand that the LCM of 593,690,253,198 is 13502610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 593, 690, 253, 198

1. What is the LCM of 593, 690, 253, 198?

Answer: LCM of 593, 690, 253, 198 is 13502610.

2. How to calculate the LCM of 593, 690, 253, 198?

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 593, 690, 253, 198.

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}.