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LCM of 612, 202, 595, 165

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


Find the LCM of 612, 202, 595, 165 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 612, 202, 595, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,202,595,165

Given numbers are 612,202,595,165

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

The LCM of 612,202,595,165 is 23797620.

Find LCM of 612,202,595,165 with Prime Factorization


2 612, 202, 595, 165
3 306, 101, 595, 165
5 102, 101, 595, 55
17 102, 101, 119, 11
6, 101, 7, 11

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

2 x 3 x 5 x 17 x 6 x 101 x 7 x 11 = 23797620

Therefore, the lowest common multiple of 612,202,595,165 is 23797620.

LCM Formula to Find Lowest Common Multiple of 612,202,595,165

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.

612 x 202 x 595 x 165 = 12136786200

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

202 : 1, 2, 101, 202

595 : 1, 5, 7, 17, 35, 85, 119, 595

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,202,595,165, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

202:2x 101

595:5x 7x 17

165:3x 5x 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 5x 17 = 510

Therefore, the value for common factors is 510.

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 = 12136786200/(1x510)

LCM = 12136786200/510

LCM = 23797620

Thus, we can understand that the LCM of 612,202,595,165 is 23797620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 202, 595, 165

1. What is the LCM of 612, 202, 595, 165?

Answer: LCM of 612, 202, 595, 165 is 23797620.

2. How to calculate the LCM of 612, 202, 595, 165?

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 612, 202, 595, 165.

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}.