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LCM of 447, 946, 364

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


Find the LCM of 447, 946, 364 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, 946, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,946,364

Given numbers are 447,946,364

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

The LCM of 447,946,364 is 76960884.

Find LCM of 447,946,364 with Prime Factorization


2 447, 946, 364
447, 473, 182

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

2 x 447 x 473 x 182 = 76960884

Therefore, the lowest common multiple of 447,946,364 is 76960884.

LCM Formula to Find Lowest Common Multiple of 447,946,364

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 946 x 364 = 153921768

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,946,364, is 1.

Now, the common factors can be found like this.

447:3x 149

946:2x 11x 43

364:2x 2x 7x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 153921768/(1x2)

LCM = 153921768/2

LCM = 76960884

Thus, we can understand that the LCM of 447,946,364 is 76960884.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 447, 946, 364

1. What is the LCM of 447, 946, 364?

Answer: LCM of 447, 946, 364 is 76960884.

2. How to calculate the LCM of 447, 946, 364?

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, 946, 364.

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}.