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LCM of 447, 491, 812, 754

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


Find the LCM of 447, 491, 812, 754 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 447, 491, 812, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,491,812,754

Given numbers are 447,491,812,754

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

The LCM of 447,491,812,754 is 2316799212.

Find LCM of 447,491,812,754 with Prime Factorization


2 447, 491, 812, 754
29 447, 491, 406, 377
447, 491, 14, 13

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

2 x 29 x 447 x 491 x 14 x 13 = 2316799212

Therefore, the lowest common multiple of 447,491,812,754 is 2316799212.

LCM Formula to Find Lowest Common Multiple of 447,491,812,754

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.

447 x 491 x 812 x 754 = 134374354296

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.

447 : 1, 3, 149, 447

491 : 1, 491

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,491,812,754, is 1.

Now, the common factors can be found like this.

447:3x 149

491:491

812:2x 2x 7x 29

754:2x 13x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 134374354296/(1x58)

LCM = 134374354296/58

LCM = 2316799212

Thus, we can understand that the LCM of 447,491,812,754 is 2316799212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 491, 812, 754

1. What is the LCM of 447, 491, 812, 754?

Answer: LCM of 447, 491, 812, 754 is 2316799212.

2. How to calculate the LCM of 447, 491, 812, 754?

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 447, 491, 812, 754.

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}.