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LCM of 909, 132, 102, 194

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


Find the LCM of 909, 132, 102, 194 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 909, 132, 102, 194. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,132,102,194

Given numbers are 909,132,102,194

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

The LCM of 909,132,102,194 is 65953404.

Find LCM of 909,132,102,194 with Prime Factorization


2 909, 132, 102, 194
3 909, 66, 51, 97
303, 22, 17, 97

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

2 x 3 x 303 x 22 x 17 x 97 = 65953404

Therefore, the lowest common multiple of 909,132,102,194 is 65953404.

LCM Formula to Find Lowest Common Multiple of 909,132,102,194

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.

909 x 132 x 102 x 194 = 2374322544

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.

909 : 1, 3, 9, 101, 303, 909

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

102 : 1, 2, 3, 6, 17, 34, 51, 102

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,132,102,194, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

132:2x 2x 3x 11

102:2x 3x 17

194:2x 97

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 2374322544/(1x36)

LCM = 2374322544/36

LCM = 65953404

Thus, we can understand that the LCM of 909,132,102,194 is 65953404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 132, 102, 194

1. What is the LCM of 909, 132, 102, 194?

Answer: LCM of 909, 132, 102, 194 is 65953404.

2. How to calculate the LCM of 909, 132, 102, 194?

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 909, 132, 102, 194.

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}.