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LCM of 447, 759, 374

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


Find the LCM of 447, 759, 374 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, 759, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,759,374

Given numbers are 447,759,374

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

The LCM of 447,759,374 is 3845094.

Find LCM of 447,759,374 with Prime Factorization


3 447, 759, 374
11 149, 253, 374
149, 23, 34

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

3 x 11 x 149 x 23 x 34 = 3845094

Therefore, the lowest common multiple of 447,759,374 is 3845094.

LCM Formula to Find Lowest Common Multiple of 447,759,374

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 759 x 374 = 126888102

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,759,374, is 1.

Now, the common factors can be found like this.

447:3x 149

759:3x 11x 23

374:2x 11x 17

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 126888102/(1x33)

LCM = 126888102/33

LCM = 3845094

Thus, we can understand that the LCM of 447,759,374 is 3845094.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 447, 759, 374

1. What is the LCM of 447, 759, 374?

Answer: LCM of 447, 759, 374 is 3845094.

2. How to calculate the LCM of 447, 759, 374?

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, 759, 374.

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}.