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 204, 956, 218, 174

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


Find the LCM of 204, 956, 218, 174 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 204, 956, 218, 174. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,956,218,174

Given numbers are 204,956,218,174

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

The LCM of 204,956,218,174 is 154117716.

Find LCM of 204,956,218,174 with Prime Factorization


2 204, 956, 218, 174
2 102, 478, 109, 87
3 51, 239, 109, 87
17, 239, 109, 29

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

2 x 2 x 3 x 17 x 239 x 109 x 29 = 154117716

Therefore, the lowest common multiple of 204,956,218,174 is 154117716.

LCM Formula to Find Lowest Common Multiple of 204,956,218,174

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.

204 x 956 x 218 x 174 = 7397650368

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

956 : 1, 2, 4, 239, 478, 956

218 : 1, 2, 109, 218

174 : 1, 2, 3, 6, 29, 58, 87, 174

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,956,218,174, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

956:2x 2x 239

218:2x 109

174:2x 3x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7397650368/(2x24)

LCM = 7397650368/48

LCM = 154117716

Thus, we can understand that the LCM of 204,956,218,174 is 154117716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 956, 218, 174

1. What is the LCM of 204, 956, 218, 174?

Answer: LCM of 204, 956, 218, 174 is 154117716.

2. How to calculate the LCM of 204, 956, 218, 174?

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 204, 956, 218, 174.

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}.