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 205, 147, 198, 305

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


Find the LCM of 205, 147, 198, 305 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 205, 147, 198, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,147,198,305

Given numbers are 205,147,198,305

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

The LCM of 205,147,198,305 is 121323510.

Find LCM of 205,147,198,305 with Prime Factorization


3 205, 147, 198, 305
5 205, 49, 66, 305
41, 49, 66, 61

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

3 x 5 x 41 x 49 x 66 x 61 = 121323510

Therefore, the lowest common multiple of 205,147,198,305 is 121323510.

LCM Formula to Find Lowest Common Multiple of 205,147,198,305

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.

205 x 147 x 198 x 305 = 1819852650

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.

205 : 1, 5, 41, 205

147 : 1, 3, 7, 21, 49, 147

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

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,147,198,305, is 1.

Now, the common factors can be found like this.

205:5x 41

147:3x 7x 7

198:2x 3x 3x 11

305:5x 61

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 1819852650/(1x15)

LCM = 1819852650/15

LCM = 121323510

Thus, we can understand that the LCM of 205,147,198,305 is 121323510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 147, 198, 305

1. What is the LCM of 205, 147, 198, 305?

Answer: LCM of 205, 147, 198, 305 is 121323510.

2. How to calculate the LCM of 205, 147, 198, 305?

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 205, 147, 198, 305.

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}.