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LCM of 645, 303, 457

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


Find the LCM of 645, 303, 457 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 645, 303, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,303,457

Given numbers are 645,303,457

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

The LCM of 645,303,457 is 29771265.

Find LCM of 645,303,457 with Prime Factorization


3 645, 303, 457
215, 101, 457

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

3 x 215 x 101 x 457 = 29771265

Therefore, the lowest common multiple of 645,303,457 is 29771265.

LCM Formula to Find Lowest Common Multiple of 645,303,457

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.

645 x 303 x 457 = 89313795

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

303 : 1, 3, 101, 303

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,303,457, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

303:3x 101

457:457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 89313795/(1x3)

LCM = 89313795/3

LCM = 29771265

Thus, we can understand that the LCM of 645,303,457 is 29771265.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 645, 303, 457

1. What is the LCM of 645, 303, 457?

Answer: LCM of 645, 303, 457 is 29771265.

2. How to calculate the LCM of 645, 303, 457?

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 645, 303, 457.

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}.