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LCM of 33, 74, 96, 74, 605

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


Find the LCM of 33, 74, 96, 74, 605 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 33, 74, 96, 74, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 33,74,96,74,605

Given numbers are 33,74,96,74,605

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

The LCM of 33,74,96,74,605 is 2148960.

Find LCM of 33,74,96,74,605 with Prime Factorization


2 33, 74, 96, 74, 605
3 33, 37, 48, 37, 605
11 11, 37, 16, 37, 605
37 1, 37, 16, 37, 55
1, 1, 16, 1, 55

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

2 x 3 x 11 x 37 x 1 x 1 x 16 x 1 x 55 = 2148960

Therefore, the lowest common multiple of 33,74,96,74,605 is 2148960.

LCM Formula to Find Lowest Common Multiple of 33,74,96,74,605

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.

33 x 74 x 96 x 74 x 605 = 10495520640

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.

33 : 1, 3, 11, 33

74 : 1, 2, 37, 74

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

74 : 1, 2, 37, 74

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 33,74,96,74,605, is 1.

Now, the common factors can be found like this.

33:3x 11

74:2x 37

96:2x 2x 2x 2x 2x 3

74:2x 37

605:5x 11x 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 2x 3x 11x 37 = 4884

Therefore, the value for common factors is 4884.

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 = 10495520640/(1x4884)

LCM = 10495520640/4884

LCM = 2148960

Thus, we can understand that the LCM of 33,74,96,74,605 is 2148960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 33, 74, 96, 74, 605

1. What is the LCM of 33, 74, 96, 74, 605?

Answer: LCM of 33, 74, 96, 74, 605 is 2148960.

2. How to calculate the LCM of 33, 74, 96, 74, 605?

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 33, 74, 96, 74, 605.

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}.