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LCM of 296, 928, 435, 482

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


Find the LCM of 296, 928, 435, 482 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 296, 928, 435, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,928,435,482

Given numbers are 296,928,435,482

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

The LCM of 296,928,435,482 is 124124640.

Find LCM of 296,928,435,482 with Prime Factorization


2 296, 928, 435, 482
2 148, 464, 435, 241
2 74, 232, 435, 241
29 37, 116, 435, 241
37, 4, 15, 241

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

2 x 2 x 2 x 29 x 37 x 4 x 15 x 241 = 124124640

Therefore, the lowest common multiple of 296,928,435,482 is 124124640.

LCM Formula to Find Lowest Common Multiple of 296,928,435,482

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.

296 x 928 x 435 x 482 = 57593832960

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

435 : 1, 3, 5, 15, 29, 87, 145, 435

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,928,435,482, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

928:2x 2x 2x 2x 2x 29

435:3x 5x 29

482:2x 241

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 2x 29 = 464

Therefore, the value for common factors is 464.

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 = 57593832960/(1x464)

LCM = 57593832960/464

LCM = 124124640

Thus, we can understand that the LCM of 296,928,435,482 is 124124640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 928, 435, 482

1. What is the LCM of 296, 928, 435, 482?

Answer: LCM of 296, 928, 435, 482 is 124124640.

2. How to calculate the LCM of 296, 928, 435, 482?

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 296, 928, 435, 482.

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}.